On stage.
It turns out that the complex plane and the differential manifold, two concepts that do not seem to be in the same dimension at all, can achieve such a high degree of unity on the issue of the Riemann zeta function.
"...After all, it is the Riemann Hypothesis, so we have to be cautious. Besides, don't just ask me for my opinion. What do you think about it yourself?"
At the same time, he also gave the audience half a minute to sort out what he just said.
"This, this is too exaggerated."
The seventh whiteboard has been filled!
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
"Do you think he did it?"
There was no sound in the entire venue.
Professor Deligne, who was sitting next to him and who, like him, had been silent from beginning to end, just staring at the whiteboard meticulously, suddenly spoke.
"As for my opinion, I agree with him."
After clearing his hoarse voice, Lu Zhou turned back to the silent venue and spoke slowly.
She lost.
When the eighth whiteboard was dragged onto the stage, there was basically no suspense about the outcome.
Professor Faltings glanced at him in slight surprise, but didn't say anything. He just calmly looked away from his face.
"You are more authoritative than me in analytic number theory... What is your opinion?"
His smooth calculations and clear ideas, as well as his amazing use and understanding of mathematical tools, have conquered almost all the audience present.
The layers of shackles that had trapped her for countless days and nights were cut off one by one under the flowing brushstrokes so easily, and she couldn't even make him stop for a second or even frown lightly. arrive.
Almost the moment Lu Zhou said these words, the entire venue was like a pot of boiling water, boiling instantly!
"...I was actually beaten first."
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
It turns out that pure complex variable function propositions can be so twists and turns.
Just at that moment.
"I originally planned to wait until the academic community gives a clear definition of my paper before saying some things, but... in my opinion, there is actually no difference."
There was no sound in the silent venue.
There was no sound in the entire venue.
It turns out that the complex plane and the differential manifold, two concepts that do not seem to be in the same dimension at all, can achieve such a high degree of unity on the issue of the Riemann zeta function.
Unifying Algebra and Geometry…
Sitting next to Molina, her former mentor Sophie Morel, a mathematics professor whose youth was long gone and crow's feet had begun to appear at the corners of her eyes, glanced at her former student and said in a soft voice.
It turns out that the complex plane and the differential manifold, two concepts that do not seem to be in the same dimension at all, can achieve such a high degree of unity on the issue of the Riemann zeta function.
…
"I don't know how high the sky is! Even if the Riemann Hypothesis is not solved, it depends on how the academic community determines it. It's already so expanded!"
"My answer is that this ancient discipline will definitely take on new vitality and become more prosperous than before."
It was as if what he was watching was not a report meeting, but a passionate football match.
"Unify...algebra and geometry? Oh my god!"
Even though she was not qualified to make a final conclusion on whether a certain proposition was proven, she could clearly sense from the atmosphere lingering at the scene that there was no suspense.
The pen hanging on the whiteboard is like Beethoven's baton. The chaotic prime numbers on the tip of his pen are like notes endowed with the meaning of life, striking the heartstrings of everyone in the audience.
Upon hearing this, Professor Deligne, who was usually stern, suddenly smiled and paused for a moment before speaking.
Looking at the depressed Molina, Sophie sighed softly and said comfortingly.
The pen hanging on the whiteboard is like Beethoven's baton. The chaotic prime numbers on the tip of his pen are like notes endowed with the meaning of life, striking the heartstrings of everyone in the audience.
Feeling the heavy recognition from the silent silence, Lu Zhou nodded slightly, responded to all the expectant looks, and continued to speak louder.
This kind of answer is almost the same as acknowledging the proof of the person on the stage. The difference is only a public statement...
“…that is, the unification of algebra and geometry!”
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
At the same time, he also gave the audience half a minute to sort out what he just said.
Looking at the depressed Molina, Sophie sighed softly and said comfortingly.
His smooth calculations and clear ideas, as well as his amazing use and understanding of mathematical tools, have conquered almost all the audience present.
“…that is, the unification of algebra and geometry!”
Molina's face was full of shock. There is no doubt that this is a more ambitious and unattainable mountain than the Riemann Hypothesis. She doesn't understand why he has already accomplished such a great deed, why he still wants to establish it at this time. Such a flag.
It's just that his shock was a little different from that of most people here.
Especially when halfway through writing on the eighth whiteboard, even Professor Faltings, who had been sitting there without saying a word from the beginning, his pupils shrank momentarily.
“…that is, the unification of algebra and geometry!”
The audience sitting in the audience wished that this report would never end, and that the heartbeat washing their souls would never stop.
Although he didn't say it clearly, he already understood what Deligne meant.
Unexpectedly, there was such a coincidence. This plan had just begun, and someone came up with him.
It would be better to go on like this until the entire universe is stripped of its cocoon by that magical pen and all the secrets of God's language are revealed to them...
All kinds of noises merged into a rushing torrent in the audience, impacting everyone's eardrums and nerves.
It's just that his shock was a little different from that of most people here.
Sitting under the stage and staring at the stage, Molina bit her lip, her fists resting on her knees constantly clenching and unclenching, her stubborn eyes full of unwillingness.
"The proof has ended here, and the unfinished exploration has finally come to an end here. However, the exploration of the future has just begun. There are still many questions in this world that we don't know how to answer."
It turns out that the complex plane and the differential manifold, two concepts that do not seem to be in the same dimension at all, can achieve such a high degree of unity on the issue of the Riemann zeta function.
Staring at the young man standing on the stage, the old man muttered something to himself.
"For example, as an analytical continuation of the Dirichlet L series, are all non-trivial zero points of the Dirichlet L function also located on the straight line of the complex plane Re(s)=1/2? And what about the automorphic L function? These are profound questions that we still don’t have a definite answer to.”
After a pause, Professor Deligne continued with an affirmative voice.
The layers of shackles that had trapped her for countless days and nights were cut off one by one under the flowing brushstrokes so easily, and she couldn't even make him stop for a second or even frown lightly. arrive.
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
Yes.
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
Although he didn't say it clearly, he already understood what Deligne meant.
"This, this is too exaggerated."
This feeling of powerlessness filled her with frustration.
"You shouldn't get into trouble. In addition to the Riemann Hypothesis, there are many propositions worth thinking about in this world."
The layers of shackles that had trapped her for countless days and nights were cut off one by one under the flowing brushstrokes so easily, and she couldn't even make him stop for a second or even frown lightly. arrive.
"In my opinion, there is at least an 80% chance that he did it... What are you going to do?"
"Do you think he did it?"
Although he is unwilling to admit such a result, the irreversible fact is so cruel.
Unifying Algebra and Geometry…
Professor Deligne, who was sitting next to him and who, like him, had been silent from beginning to end, just staring at the whiteboard meticulously, suddenly spoke.
There was no sound in the entire venue.
Even though she was not qualified to make a final conclusion on whether a certain proposition was proven, she could clearly sense from the atmosphere lingering at the scene that there was no suspense.
On stage.
Professor Deligne, who was sitting next to him and who, like him, had been silent from beginning to end, just staring at the whiteboard meticulously, suddenly spoke.
Although he didn't say it clearly, he already understood what Deligne meant.
The layers of shackles that had trapped her for countless days and nights were cut off one by one under the flowing brushstrokes so easily, and she couldn't even make him stop for a second or even frown lightly. arrive.
After all, that moment of enlightenment cannot lie.
After pausing for about three seconds, he looked around at the eyes on him in the venue. Lu Zhou, who had relieved all his burdens, took a deep breath and said in a relaxed tone the words he had long wanted to say. the words said.
Unifying algebra and geometry!
She spent ten years pursuing the answer to this proposition.
When the eighth whiteboard was dragged onto the stage, there was basically no suspense about the outcome.
She lost.
At the same time, he also gave the audience half a minute to sort out what he just said.
Even she herself was one of those who was persuaded...
At the same time, it was not just Deligne and Faltings who were discussing this issue. Sitting on the other side of the venue, almost the same discussion was also going on.
Shocked, doubtful, curious, confused, scoffing or expressionless…
At this point, Lu Zhou paused and continued.
"This is it!"
After a pause, Professor Deligne continued with an affirmative voice.
This was the last thing he planned to do before retiring.
Sitting next to Molina, her former mentor Sophie Morel, a mathematics professor whose youth was long gone and crow's feet had begun to appear at the corners of her eyes, glanced at her former student and said in a soft voice.
"Of course, in fact, I personally prefer a more grand proposition."
Caught off guard by this question, Professor Faltings was slightly stunned for a moment. After gathering himself, he gave a conservative answer.
"In my opinion, there is at least an 80% chance that he did it... What are you going to do?"
"I can't find a suitable counterexample to refute him for the time being, just like I can't find a non-trivial zero point outside the critical line..."
There was no sound in the entire venue.
Upon hearing this, Professor Deligne, who was usually stern, suddenly smiled and paused for a moment before speaking.
Just at that moment.
"...After all, it is the Riemann Hypothesis, so we have to be cautious. Besides, don't just ask me for my opinion. What do you think about it yourself?"
"Historical experience tells us that whenever we solve a trouble, there will be more troubles waiting for us behind. But I think this must be a happy trouble, and our academics prosper because of this. "
At this point, Lu Zhou paused and continued.
Molina was silent for a while, lowering her eyes slightly.
It turns out that the complex plane and the differential manifold, two concepts that do not seem to be in the same dimension at all, can achieve such a high degree of unity on the issue of the Riemann zeta function.
"When did you start using such ambiguous terms to draw conclusions?"
Academician Wang's eyes widened in surprise, unable to believe that Lu Zhou would suddenly say such a crazy idea.
"This is it!"
Just at that moment.
"I don't know, maybe I'll go home for a vacation first..."
Professor Deligne, who was sitting next to him and who, like him, had been silent from beginning to end, just staring at the whiteboard meticulously, suddenly spoke.
“…that is, the unification of algebra and geometry!”
She spent ten years pursuing the answer to this proposition.
After clearing his hoarse voice, Lu Zhou turned back to the silent venue and spoke slowly.
Yes.
Although he is unwilling to admit such a result, the irreversible fact is so cruel.
Molina was silent for a while, lowering her eyes slightly.
After pausing for about three seconds, he looked around at the eyes on him in the venue. Lu Zhou, who had relieved all his burdens, took a deep breath and said in a relaxed tone the words he had long wanted to say. the words said.
Shocked, doubtful, curious, confused, scoffing or expressionless…
She lost.
It turns out that the complex plane and the differential manifold, two concepts that do not seem to be in the same dimension at all, can achieve such a high degree of unity on the issue of the Riemann zeta function.
Even though she was not qualified to make a final conclusion on whether a certain proposition was proven, she could clearly sense from the atmosphere lingering at the scene that there was no suspense.
Sitting under the stage and staring at the stage, Molina bit her lip, her fists resting on her knees constantly clenching and unclenching, her stubborn eyes full of unwillingness.
Looking at the depressed Molina, Sophie sighed softly and said comfortingly.
The audience sitting in the audience wished that this report would never end, and that the heartbeat washing their souls would never stop.
At this moment, everything is quiet.
It was as if what he was watching was not a report meeting, but a passionate football match.
Similarly, Faltings' pupils also dilated slightly due to shock.
Looking at the depressed Molina, Sophie sighed softly and said comfortingly.
After clearing his hoarse voice, Lu Zhou turned back to the silent venue and spoke slowly.
"You shouldn't get into trouble. In addition to the Riemann Hypothesis, there are many propositions worth thinking about in this world."
In response to this sharp rhetorical question, Professor Deligne was silent for a while and then spoke.
He only remembered that he seemed to be very young at that time, and Grothendieck had not yet retired to seclusion. However, as a young and vigorous self, he wrote a letter to the Pope in the field of algebraic geometry. In his opinion now, " "Incredibly childish" letter...
Especially when halfway through writing on the eighth whiteboard, even Professor Faltings, who had been sitting there without saying a word from the beginning, his pupils shrank momentarily.
Molina was silent for a while, raised her head and said.
"Historical experience tells us that whenever we solve a trouble, there will be more troubles waiting for us behind. But I think this must be a happy trouble, and our academics prosper because of this. "
"More than 90%."
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
"Maybe."
It turns out that the complex plane and the differential manifold, two concepts that do not seem to be in the same dimension at all, can achieve such a high degree of unity on the issue of the Riemann zeta function.
Although he is unwilling to admit such a result, the irreversible fact is so cruel.
Write down the last line of calculation.
…
Almost the moment Lu Zhou said these words, the entire venue was like a pot of boiling water, boiling instantly!
Upon hearing this, Professor Deligne, who was usually stern, suddenly smiled and paused for a moment before speaking.
"This, this is too exaggerated."
It turns out that pure complex variable function propositions can be so twists and turns.
Although he didn't say it clearly, he already understood what Deligne meant.
"When did you start using such ambiguous terms to draw conclusions?"
Unifying Algebra and Geometry…
This was the last thing he planned to do before retiring.
Yes.
Unexpectedly, there was such a coincidence. This plan had just begun, and someone came up with him.
"This is it!"
The proof has reached this point, and there is basically no suspense left.
Just at that moment.
Professor Deligne, who was sitting next to him and who, like him, had been silent from beginning to end, just staring at the whiteboard meticulously, suddenly spoke.
"...I was actually beaten first."
This was the last thing he planned to do before retiring.
Even though she was not qualified to make a final conclusion on whether a certain proposition was proven, she could clearly sense from the atmosphere lingering at the scene that there was no suspense.
He only remembered that he seemed to be very young at that time, and Grothendieck had not yet retired to seclusion. However, as a young and vigorous self, he wrote a letter to the Pope in the field of algebraic geometry. In his opinion now, " "Incredibly childish" letter...
Especially when halfway through writing on the eighth whiteboard, even Professor Faltings, who had been sitting there without saying a word from the beginning, his pupils shrank momentarily.
"Historical experience tells us that whenever we solve a trouble, there will be more troubles waiting for us behind. But I think this must be a happy trouble, and our academics prosper because of this. "
All kinds of noises merged into a rushing torrent in the audience, impacting everyone's eardrums and nerves.
All kinds of noises merged into a rushing torrent in the audience, impacting everyone's eardrums and nerves.
Just at that moment.
"As for myself, I may study the Dirichlet L function and the generalization of the Riemann hypothesis... that is, the generalized Riemann hypothesis. I may also study with my friends the theory behind the pair correlation function of the non-trivial zero points of the Riemann zeta function. Physically, it sounds exciting."
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
Unifying Algebra and Geometry…
Molina's face was full of shock. There is no doubt that this is a more ambitious and unattainable mountain than the Riemann Hypothesis. She doesn't understand why he has already accomplished such a great deed, why he still wants to establish it at this time. Such a flag.
Unifying algebra and geometry!
Unexpectedly, there was such a coincidence. This plan had just begun, and someone came up with him.
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
Write down the last line of calculation.
A locked iron door in his heart, together with the stone wall one step wide, collapsed in an instant. And behind the crumbling ruins, he saw a brand new world that he had never seen before...
Similarly, Faltings' pupils also dilated slightly due to shock.
Similarly, Faltings' pupils also dilated slightly due to shock.
"This, this is too exaggerated."
Molina's face was full of shock. There is no doubt that this is a more ambitious and unattainable mountain than the Riemann Hypothesis. She doesn't understand why he has already accomplished such a great deed, why he still wants to establish it at this time. Such a flag.
"This is it!"
"You are more authoritative than me in analytic number theory... What is your opinion?"
Although he didn't say it clearly, he already understood what Deligne meant.
"You are more authoritative than me in analytic number theory... What is your opinion?"
He couldn't remember the last time he felt like this.
He growled softly, pounding his fist on his thigh excitedly, turning a blind eye to the slightly sullen gaze from the scholar next to him, and went his own way to vent the excitement in his heart.
"To answer the previous friend's question, after the Riemann Hypothesis is completed, where will analytic number theory go?"
Taking two steps back and looking at the neatly written calculations on the whiteboard, Lu Zhou spent about half a minute savoring this hearty feeling and reviewing the difficult journey he had made on this pilgrimage over the past few years. Each step…
"For example, as an analytical continuation of the Dirichlet L series, are all non-trivial zero points of the Dirichlet L function also located on the straight line of the complex plane Re(s)=1/2? And what about the automorphic L function? These are profound questions that we still don’t have a definite answer to.”
"When did you start using such ambiguous terms to draw conclusions?"
"As for my opinion, I agree with him."
He only remembered that he seemed to be very young at that time, and Grothendieck had not yet retired to seclusion. However, as a young and vigorous self, he wrote a letter to the Pope in the field of algebraic geometry. In his opinion now, " "Incredibly childish" letter...
When he saw that Lu Zhou had written down that crucial line of calculations, Fefferman looked at Terence Tao who was sitting next to him and asked.
She spent ten years pursuing the answer to this proposition.
…
"Maybe."
Professor Deligne, who was sitting next to him and who, like him, had been silent from beginning to end, just staring at the whiteboard meticulously, suddenly spoke.
At this moment, everything is quiet.
"You are more authoritative than me in analytic number theory... What is your opinion?"
…
There was excitement in his eyes, but before Professor Tao, who knew a little bit about everything, could speak, the slovenly man sitting not far from him clenched his fists in excitement and almost stood up.
"Do you think he did it?"
Molina was silent for a while, lowering her eyes slightly.
There was excitement in his eyes, but before Professor Tao, who knew a little bit about everything, could speak, the slovenly man sitting not far from him clenched his fists in excitement and almost stood up.
Even she herself was one of those who was persuaded...
Caught off guard by this question, Professor Faltings was slightly stunned for a moment. After gathering himself, he gave a conservative answer.
Although he is unwilling to admit such a result, the irreversible fact is so cruel.
Feeling the heavy recognition from the silent silence, Lu Zhou nodded slightly, responded to all the expectant looks, and continued to speak louder.
"Do you think he did it?"
"More than 90%."
"More than 90%."
Even she herself was one of those who was persuaded...
It turns out that pure complex variable function propositions can be so twists and turns.
Molina's face was full of shock. There is no doubt that this is a more ambitious and unattainable mountain than the Riemann Hypothesis. She doesn't understand why he has already accomplished such a great deed, why he still wants to establish it at this time. Such a flag.
Upon hearing this, Professor Deligne, who was usually stern, suddenly smiled and paused for a moment before speaking.
At this point, Lu Zhou paused and continued.
“…that is, the unification of algebra and geometry!”
"Unify...algebra and geometry? Oh my god!"
Although he is unwilling to admit such a result, the irreversible fact is so cruel.
Professor Faltings glanced at him in slight surprise, but didn't say anything. He just calmly looked away from his face.
The pen hanging on the whiteboard is like Beethoven's baton. The chaotic prime numbers on the tip of his pen are like notes endowed with the meaning of life, striking the heartstrings of everyone in the audience.
Molina was silent for a while, raised her head and said.
"When did you start using such ambiguous terms to draw conclusions?"
After all, that moment of enlightenment cannot lie.
Professor Faltings glanced at him in slight surprise, but didn't say anything. He just calmly looked away from his face.
After clearing his hoarse voice, Lu Zhou turned back to the silent venue and spoke slowly.
Although he is unwilling to admit such a result, the irreversible fact is so cruel.
She spent ten years pursuing the answer to this proposition.
At the same time, it was not just Deligne and Faltings who were discussing this issue. Sitting on the other side of the venue, almost the same discussion was also going on.
At this moment, everything is quiet.
His smooth calculations and clear ideas, as well as his amazing use and understanding of mathematical tools, have conquered almost all the audience present.
The expression on his face did not change in any way due to the ridicule from his old friend. Professor Faltings, who was keen on "Germanic humor", rarely spoke back with venom this time, and just said calmly.
After pausing for about three seconds, he looked around at the eyes on him in the venue. Lu Zhou, who had relieved all his burdens, took a deep breath and said in a relaxed tone the words he had long wanted to say. the words said.
The layers of shackles that had trapped her for countless days and nights were cut off one by one under the flowing brushstrokes so easily, and she couldn't even make him stop for a second or even frown lightly. arrive.
Even though she was not qualified to make a final conclusion on whether a certain proposition was proven, she could clearly sense from the atmosphere lingering at the scene that there was no suspense.
"Do you think he did it?"
"More than 90%."
Unifying Algebra and Geometry…
Sitting under the stage and staring at the stage, Molina bit her lip, her fists resting on her knees constantly clenching and unclenching, her stubborn eyes full of unwillingness.
"...After all, it is the Riemann Hypothesis, so we have to be cautious. Besides, don't just ask me for my opinion. What do you think about it yourself?"
On stage.
Sitting next to Molina, her former mentor Sophie Morel, a mathematics professor whose youth was long gone and crow's feet had begun to appear at the corners of her eyes, glanced at her former student and said in a soft voice.
Caught off guard by this question, Professor Faltings was slightly stunned for a moment. After gathering himself, he gave a conservative answer.
Although he didn't say it clearly, he already understood what Deligne meant.
When he saw that Lu Zhou had written down that crucial line of calculations, Fefferman looked at Terence Tao who was sitting next to him and asked.
"As for my opinion, I agree with him."
"I can't find a suitable counterexample to refute him for the time being, just like I can't find a non-trivial zero point outside the critical line..."
All kinds of noises merged into a rushing torrent in the audience, impacting everyone's eardrums and nerves.
In response to this sharp rhetorical question, Professor Deligne was silent for a while and then spoke.
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
It turns out that the complex plane and the differential manifold, two concepts that do not seem to be in the same dimension at all, can achieve such a high degree of unity on the issue of the Riemann zeta function.
Looking at the depressed Molina, Sophie sighed softly and said comfortingly.
In response to this sharp rhetorical question, Professor Deligne was silent for a while and then spoke.
The seventh whiteboard has been filled!
"I can't find a suitable counterexample to refute him for the time being, just like I can't find a non-trivial zero point outside the critical line..."
His smooth calculations and clear ideas, as well as his amazing use and understanding of mathematical tools, have conquered almost all the audience present.
"Historical experience tells us that whenever we solve a trouble, there will be more troubles waiting for us behind. But I think this must be a happy trouble, and our academics prosper because of this. "
"My answer is that this ancient discipline will definitely take on new vitality and become more prosperous than before."
Even though she was not qualified to make a final conclusion on whether a certain proposition was proven, she could clearly sense from the atmosphere lingering at the scene that there was no suspense.
Although he is unwilling to admit such a result, the irreversible fact is so cruel.
After a pause, Professor Deligne continued with an affirmative voice.
The proof has reached this point, and there is basically no suspense left.
"Do you think he did it?"
Staring at the young man standing on the stage, the old man muttered something to himself.
This kind of answer is almost the same as acknowledging the proof of the person on the stage. The difference is only a public statement...
"You are more authoritative than me in analytic number theory... What is your opinion?"
Sitting under the stage and staring at the stage, Molina bit her lip, her fists resting on her knees constantly clenching and unclenching, her stubborn eyes full of unwillingness.
"All I can say is that his proof is logically self-consistent."
Unexpectedly, there was such a coincidence. This plan had just begun, and someone came up with him.
"I don't know how high the sky is! Even if the Riemann Hypothesis is not solved, it depends on how the academic community determines it. It's already so expanded!"
Shocked, doubtful, curious, confused, scoffing or expressionless…
Sitting next to Molina, her former mentor Sophie Morel, a mathematics professor whose youth was long gone and crow's feet had begun to appear at the corners of her eyes, glanced at her former student and said in a soft voice.
"My answer is that this ancient discipline will definitely take on new vitality and become more prosperous than before."
Professor Faltings glanced at him in slight surprise, but didn't say anything. He just calmly looked away from his face.
Even she herself was one of those who was persuaded...
At this point, Lu Zhou paused and continued.
There was excitement in his eyes, but before Professor Tao, who knew a little bit about everything, could speak, the slovenly man sitting not far from him clenched his fists in excitement and almost stood up.
"More than 90%."
Just at that moment.
Although he didn't say it clearly, he already understood what Deligne meant.
Feeling the heavy recognition from the silent silence, Lu Zhou nodded slightly, responded to all the expectant looks, and continued to speak louder.
Yes.
Especially when halfway through writing on the eighth whiteboard, even Professor Faltings, who had been sitting there without saying a word from the beginning, his pupils shrank momentarily.
This kind of answer is almost the same as acknowledging the proof of the person on the stage. The difference is only a public statement...
"In my opinion, there is at least an 80% chance that he did it... What are you going to do?"
Yes.
At the same time, it was not just Deligne and Faltings who were discussing this issue. Sitting on the other side of the venue, almost the same discussion was also going on.
Feeling the heavy recognition from the silent silence, Lu Zhou nodded slightly, responded to all the expectant looks, and continued to speak louder.
He growled softly, pounding his fist on his thigh excitedly, turning a blind eye to the slightly sullen gaze from the scholar next to him, and went his own way to vent the excitement in his heart.
When he saw that Lu Zhou had written down that crucial line of calculations, Fefferman looked at Terence Tao who was sitting next to him and asked.
"To answer the previous friend's question, after the Riemann Hypothesis is completed, where will analytic number theory go?"
Academician Wang's eyes widened in surprise, unable to believe that Lu Zhou would suddenly say such a crazy idea.
…
"You are more authoritative than me in analytic number theory... What is your opinion?"
There was no sound in the entire venue.
"...After all, it is the Riemann Hypothesis, so we have to be cautious. Besides, don't just ask me for my opinion. What do you think about it yourself?"
After all, that moment of enlightenment cannot lie.
Yes.
There was excitement in his eyes, but before Professor Tao, who knew a little bit about everything, could speak, the slovenly man sitting not far from him clenched his fists in excitement and almost stood up.
"I don't know how high the sky is! Even if the Riemann Hypothesis is not solved, it depends on how the academic community determines it. It's already so expanded!"
Although he didn't say it clearly, he already understood what Deligne meant.
He growled softly, pounding his fist on his thigh excitedly, turning a blind eye to the slightly sullen gaze from the scholar next to him, and went his own way to vent the excitement in his heart.
"This is it!"
After pausing for about three seconds, he looked around at the eyes on him in the venue. Lu Zhou, who had relieved all his burdens, took a deep breath and said in a relaxed tone the words he had long wanted to say. the words said.
Even she herself was one of those who was persuaded...
Professor Deligne, who was sitting next to him and who, like him, had been silent from beginning to end, just staring at the whiteboard meticulously, suddenly spoke.
At the same time, he also gave the audience half a minute to sort out what he just said.
He growled softly, pounding his fist on his thigh excitedly, turning a blind eye to the slightly sullen gaze from the scholar next to him, and went his own way to vent the excitement in his heart.
She spent ten years pursuing the answer to this proposition.
Write down the last line of calculation.
It was as if what he was watching was not a report meeting, but a passionate football match.
"At this point, we can answer the question about the distribution of non-trivial zeros of the Riemann zeta function with an affirmative statement. That is, all non-trivial zeros of the Riemann zeta function are located on the complex plane Re(s)=1 /2 on the straight line.”
It turns out that the complex plane and the differential manifold, two concepts that do not seem to be in the same dimension at all, can achieve such a high degree of unity on the issue of the Riemann zeta function.
"The proof has ended here, and the unfinished exploration has finally come to an end here. However, the exploration of the future has just begun. There are still many questions in this world that we don't know how to answer."
On stage.
Staring in that direction in stunned silence, Tao Zhexuan, who was interrupted, looked away, looked at Professor Fefferman, who also had a look of surprise on his face, shrugged and said.
"It seems... someone has already answered this question for me."
When the eighth whiteboard was dragged onto the stage, there was basically no suspense about the outcome.
He only remembered that he seemed to be very young at that time, and Grothendieck had not yet retired to seclusion. However, as a young and vigorous self, he wrote a letter to the Pope in the field of algebraic geometry. In his opinion now, " "Incredibly childish" letter...
Unexpectedly, there was such a coincidence. This plan had just begun, and someone came up with him.
The layers of shackles that had trapped her for countless days and nights were cut off one by one under the flowing brushstrokes so easily, and she couldn't even make him stop for a second or even frown lightly. arrive.
"It seems... someone has already answered this question for me."
…
"The proof has ended here, and the unfinished exploration has finally come to an end here. However, the exploration of the future has just begun. There are still many questions in this world that we don't know how to answer."
"This, this is too exaggerated."
"As for my opinion, I agree with him."
A locked iron door in his heart, together with the stone wall one step wide, collapsed in an instant. And behind the crumbling ruins, he saw a brand new world that he had never seen before...
This feeling of powerlessness filled her with frustration.
This was the last thing he planned to do before retiring.
Feeling the heavy recognition from the silent silence, Lu Zhou nodded slightly, responded to all the expectant looks, and continued to speak louder.
"My answer is that this ancient discipline will definitely take on new vitality and become more prosperous than before."
"It seems... someone has already answered this question for me."
She spent ten years pursuing the answer to this proposition.
…
"Unify...algebra and geometry? Oh my god!"
"More than 90%."
Write down the last line of calculation.
When the eighth whiteboard was dragged onto the stage, there was basically no suspense about the outcome.
The expression on his face did not change in any way due to the ridicule from his old friend. Professor Faltings, who was keen on "Germanic humor", rarely spoke back with venom this time, and just said calmly.
"It seems... someone has already answered this question for me."
As the pen hanging on the whiteboard was finally gently lowered.
Taking two steps back and looking at the neatly written calculations on the whiteboard, Lu Zhou spent about half a minute savoring this hearty feeling and reviewing the difficult journey he had made on this pilgrimage over the past few years. Each step…
At the same time, he also gave the audience half a minute to sort out what he just said.
"When did you start using such ambiguous terms to draw conclusions?"
At this moment, everything is quiet.
"This is it!"
…
Molina's face was full of shock. There is no doubt that this is a more ambitious and unattainable mountain than the Riemann Hypothesis. She doesn't understand why he has already accomplished such a great deed, why he still wants to establish it at this time. Such a flag.
Feeling the heavy recognition from the silent silence, Lu Zhou nodded slightly, responded to all the expectant looks, and continued to speak louder.
There was no sound in the entire venue.
His smooth calculations and clear ideas, as well as his amazing use and understanding of mathematical tools, have conquered almost all the audience present.
Write down the last line of calculation.
Taking two steps back and looking at the neatly written calculations on the whiteboard, Lu Zhou spent about half a minute savoring this hearty feeling and reviewing the difficult journey he had made on this pilgrimage over the past few years. Each step…
"More than 90%."
Taking two steps back and looking at the neatly written calculations on the whiteboard, Lu Zhou spent about half a minute savoring this hearty feeling and reviewing the difficult journey he had made on this pilgrimage over the past few years. Each step…
It turns out that pure complex variable function propositions can be so twists and turns.
As the pen hanging on the whiteboard was finally gently lowered.
Almost the moment Lu Zhou said these words, the entire venue was like a pot of boiling water, boiling instantly!
"Maybe."
Professor Faltings glanced at him in slight surprise, but didn't say anything. He just calmly looked away from his face.
At the same time, he also gave the audience half a minute to sort out what he just said.
"At this point, we can answer the question about the distribution of non-trivial zeros of the Riemann zeta function with an affirmative statement. That is, all non-trivial zeros of the Riemann zeta function are located on the complex plane Re(s)=1 /2 on the straight line.”
Molina was silent for a while, raised her head and said.
After clearing his hoarse voice, Lu Zhou turned back to the silent venue and spoke slowly.
Yes.
Although he is unwilling to admit such a result, the irreversible fact is so cruel.
After a pause, Professor Deligne continued with an affirmative voice.
"In my opinion, there is at least an 80% chance that he did it... What are you going to do?"
"Historical experience tells us that whenever we solve a trouble, there will be more troubles waiting for us behind. But I think this must be a happy trouble, and our academics prosper because of this. "
After clearing his hoarse voice, Lu Zhou turned back to the silent venue and spoke slowly.
Upon hearing this, Professor Deligne, who was usually stern, suddenly smiled and paused for a moment before speaking.
Sitting under the stage and staring at the stage, Molina bit her lip, her fists resting on her knees constantly clenching and unclenching, her stubborn eyes full of unwillingness.
Molina was silent for a while, raised her head and said.
He couldn't remember the last time he felt like this.
When he saw that Lu Zhou had written down that crucial line of calculations, Fefferman looked at Terence Tao who was sitting next to him and asked.
This kind of answer is almost the same as acknowledging the proof of the person on the stage. The difference is only a public statement...
"At this point, we can answer the question about the distribution of non-trivial zeros of the Riemann zeta function with an affirmative statement. That is, all non-trivial zeros of the Riemann zeta function are located on the complex plane Re(s)=1 /2 on the straight line.”
"The proof has ended here, and the unfinished exploration has finally come to an end here. However, the exploration of the future has just begun. There are still many questions in this world that we don't know how to answer."
"...After all, it is the Riemann Hypothesis, so we have to be cautious. Besides, don't just ask me for my opinion. What do you think about it yourself?"
This was the last thing he planned to do before retiring.
She spent ten years pursuing the answer to this proposition.
"...I was actually beaten first."
It would be better to go on like this until the entire universe is stripped of its cocoon by that magical pen and all the secrets of God's language are revealed to them...
"The proof has ended here, and the unfinished exploration has finally come to an end here. However, the exploration of the future has just begun. There are still many questions in this world that we don't know how to answer."
Upon hearing this, Professor Deligne, who was usually stern, suddenly smiled and paused for a moment before speaking.
At the same time, it was not just Deligne and Faltings who were discussing this issue. Sitting on the other side of the venue, almost the same discussion was also going on.
On stage.
This feeling of powerlessness filled her with frustration.
"For example, as an analytical continuation of the Dirichlet L series, are all non-trivial zero points of the Dirichlet L function also located on the straight line of the complex plane Re(s)=1/2? And what about the automorphic L function? These are profound questions that we still don’t have a definite answer to.”
She lost.
Upon hearing this, Professor Deligne, who was usually stern, suddenly smiled and paused for a moment before speaking.
"Historical experience tells us that whenever we solve a trouble, there will be more troubles waiting for us behind. But I think this must be a happy trouble, and our academics prosper because of this. "
The seventh whiteboard has been filled!
Even though she was not qualified to make a final conclusion on whether a certain proposition was proven, she could clearly sense from the atmosphere lingering at the scene that there was no suspense.
“…that is, the unification of algebra and geometry!”
This was the last thing he planned to do before retiring.
It was as if what he was watching was not a report meeting, but a passionate football match.
Shocked, doubtful, curious, confused, scoffing or expressionless…
At this point, Lu Zhou paused and continued.
At the same time, it was not just Deligne and Faltings who were discussing this issue. Sitting on the other side of the venue, almost the same discussion was also going on.
Similarly, Faltings' pupils also dilated slightly due to shock.
Professor Faltings glanced at him in slight surprise, but didn't say anything. He just calmly looked away from his face.
"I originally planned to wait until the academic community gives a clear definition of my paper before saying some things, but... in my opinion, there is actually no difference."
Caught off guard by this question, Professor Faltings was slightly stunned for a moment. After gathering himself, he gave a conservative answer.
On stage.
"You are more authoritative than me in analytic number theory... What is your opinion?"
There was no sound in the silent venue.
At this point, Lu Zhou paused and continued.
Write down the last line of calculation.
Shocked, doubtful, curious, confused, scoffing or expressionless…
It would be better to go on like this until the entire universe is stripped of its cocoon by that magical pen and all the secrets of God's language are revealed to them...
Unifying algebra and geometry!
The layers of shackles that had trapped her for countless days and nights were cut off one by one under the flowing brushstrokes so easily, and she couldn't even make him stop for a second or even frown lightly. arrive.
"I can't find a suitable counterexample to refute him for the time being, just like I can't find a non-trivial zero point outside the critical line..."
Feeling the heavy recognition from the silent silence, Lu Zhou nodded slightly, responded to all the expectant looks, and continued to speak louder.
Unifying Algebra and Geometry…
Shocked, doubtful, curious, confused, scoffing or expressionless…
The proof has reached this point, and there is basically no suspense left.
The audience sitting in the audience wished that this report would never end, and that the heartbeat washing their souls would never stop.
There was no sound in the silent venue.
"To answer the previous friend's question, after the Riemann Hypothesis is completed, where will analytic number theory go?"
There was no sound in the entire venue.
At this point, Lu Zhou paused and continued.
"This, this is too exaggerated."
"My answer is that this ancient discipline will definitely take on new vitality and become more prosperous than before."
Similarly, Faltings' pupils also dilated slightly due to shock.
Although he didn't say it clearly, he already understood what Deligne meant.
Staring in that direction in stunned silence, Tao Zhexuan, who was interrupted, looked away, looked at Professor Fefferman, who also had a look of surprise on his face, shrugged and said.
Similarly, Faltings' pupils also dilated slightly due to shock.
There was no sound in the silent venue.
The layers of shackles that had trapped her for countless days and nights were cut off one by one under the flowing brushstrokes so easily, and she couldn't even make him stop for a second or even frown lightly. arrive.
"This is it!"
She lost.
"As for myself, I may study the Dirichlet L function and the generalization of the Riemann hypothesis... that is, the generalized Riemann hypothesis. I may also study with my friends the theory behind the pair correlation function of the non-trivial zero points of the Riemann zeta function. Physically, it sounds exciting."
Professor Faltings glanced at him in slight surprise, but didn't say anything. He just calmly looked away from his face.
It was as if what he was watching was not a report meeting, but a passionate football match.
Molina's face was full of shock. There is no doubt that this is a more ambitious and unattainable mountain than the Riemann Hypothesis. She doesn't understand why he has already accomplished such a great deed, why he still wants to establish it at this time. Such a flag.
"Of course, in fact, I personally prefer a more grand proposition."
Although he didn't say it clearly, he already understood what Deligne meant.
This feeling of powerlessness filled her with frustration.
“…that is, the unification of algebra and geometry!”
When the eighth whiteboard was dragged onto the stage, there was basically no suspense about the outcome.
It would be better to go on like this until the entire universe is stripped of its cocoon by that magical pen and all the secrets of God's language are revealed to them...
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
After pausing for about three seconds, he looked around at the eyes on him in the venue. Lu Zhou, who had relieved all his burdens, took a deep breath and said in a relaxed tone the words he had long wanted to say. the words said.
Write down the last line of calculation.
Unifying Algebra and Geometry…
After clearing his hoarse voice, Lu Zhou turned back to the silent venue and spoke slowly.
…
The pen hanging on the whiteboard is like Beethoven's baton. The chaotic prime numbers on the tip of his pen are like notes endowed with the meaning of life, striking the heartstrings of everyone in the audience.
“…that is, the unification of algebra and geometry!”
"Of course, in fact, I personally prefer a more grand proposition."
The pen hanging on the whiteboard is like Beethoven's baton. The chaotic prime numbers on the tip of his pen are like notes endowed with the meaning of life, striking the heartstrings of everyone in the audience.
Just at that moment.
It's just that his shock was a little different from that of most people here.
Almost the moment Lu Zhou said these words, the entire venue was like a pot of boiling water, boiling instantly!
"All I can say is that his proof is logically self-consistent."
Sitting next to Molina, her former mentor Sophie Morel, a mathematics professor whose youth was long gone and crow's feet had begun to appear at the corners of her eyes, glanced at her former student and said in a soft voice.
Taking two steps back and looking at the neatly written calculations on the whiteboard, Lu Zhou spent about half a minute savoring this hearty feeling and reviewing the difficult journey he had made on this pilgrimage over the past few years. Each step…
Sitting under the stage and staring at the stage, Molina bit her lip, her fists resting on her knees constantly clenching and unclenching, her stubborn eyes full of unwillingness.
Academician Wang's eyes widened in surprise, unable to believe that Lu Zhou would suddenly say such a crazy idea.
Looking at the depressed Molina, Sophie sighed softly and said comfortingly.
She lost.
Professor Deligne, who was sitting next to him and who, like him, had been silent from beginning to end, just staring at the whiteboard meticulously, suddenly spoke.
Unifying algebra and geometry!
There was no sound in the silent venue.
At this point, Lu Zhou paused and continued.
There was excitement in his eyes, but before Professor Tao, who knew a little bit about everything, could speak, the slovenly man sitting not far from him clenched his fists in excitement and almost stood up.
Sitting under the stage and staring at the stage, Molina bit her lip, her fists resting on her knees constantly clenching and unclenching, her stubborn eyes full of unwillingness.
He growled softly, pounding his fist on his thigh excitedly, turning a blind eye to the slightly sullen gaze from the scholar next to him, and went his own way to vent the excitement in his heart.
"But if it's him, I don't know if it's really possible..."
Shocked, doubtful, curious, confused, scoffing or expressionless…
"Historical experience tells us that whenever we solve a trouble, there will be more troubles waiting for us behind. But I think this must be a happy trouble, and our academics prosper because of this. "
"The proof has ended here, and the unfinished exploration has finally come to an end here. However, the exploration of the future has just begun. There are still many questions in this world that we don't know how to answer."
Almost the moment Lu Zhou said these words, the entire venue was like a pot of boiling water, boiling instantly!
"I don't know how high the sky is! Even if the Riemann Hypothesis is not solved, it depends on how the academic community determines it. It's already so expanded!"
In response to this sharp rhetorical question, Professor Deligne was silent for a while and then spoke.
“…that is, the unification of algebra and geometry!”
In response to this sharp rhetorical question, Professor Deligne was silent for a while and then spoke.
"Unify...algebra and geometry? Oh my god!"
Upon hearing this, Professor Deligne, who was usually stern, suddenly smiled and paused for a moment before speaking.
Write down the last line of calculation.
"This, this is too exaggerated."
Molina was silent for a while, raised her head and said.
"My answer is that this ancient discipline will definitely take on new vitality and become more prosperous than before."
"I don't know how high the sky is! Even if the Riemann Hypothesis is not solved, it depends on how the academic community determines it. It's already so expanded!"
"In my opinion, there is at least an 80% chance that he did it... What are you going to do?"
Write down the last line of calculation.
"But if it's him, I don't know if it's really possible..."
Looking at the depressed Molina, Sophie sighed softly and said comfortingly.
All kinds of noises merged into a rushing torrent in the audience, impacting everyone's eardrums and nerves.
Unexpectedly, there was such a coincidence. This plan had just begun, and someone came up with him.
"In my opinion, there is at least an 80% chance that he did it... What are you going to do?"
After all, that moment of enlightenment cannot lie.
"You are more authoritative than me in analytic number theory... What is your opinion?"
"Do you think he did it?"
The seventh whiteboard has been filled!
All kinds of noises merged into a rushing torrent in the audience, impacting everyone's eardrums and nerves.
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
Even she herself was one of those who was persuaded...
She lost.
A locked iron door in his heart, together with the stone wall one step wide, collapsed in an instant. And behind the crumbling ruins, he saw a brand new world that he had never seen before...
Academician Wang's eyes widened in surprise, unable to believe that Lu Zhou would suddenly say such a crazy idea.
"You shouldn't get into trouble. In addition to the Riemann Hypothesis, there are many propositions worth thinking about in this world."
Academician Wang's eyes widened in surprise, unable to believe that Lu Zhou would suddenly say such a crazy idea.
On stage.
"But if it's him, I don't know if it's really possible..."
Molina's face was full of shock. There is no doubt that this is a more ambitious and unattainable mountain than the Riemann Hypothesis. She doesn't understand why he has already accomplished such a great deed, why he still wants to establish it at this time. Such a flag.
"You are more authoritative than me in analytic number theory... What is your opinion?"
Shocked, doubtful, curious, confused, scoffing or expressionless…
There was no sound in the silent venue.
It turns out that the complex plane and the differential manifold, two concepts that do not seem to be in the same dimension at all, can achieve such a high degree of unity on the issue of the Riemann zeta function.
He growled softly, pounding his fist on his thigh excitedly, turning a blind eye to the slightly sullen gaze from the scholar next to him, and went his own way to vent the excitement in his heart.
Similarly, Faltings' pupils also dilated slightly due to shock.
Staring at the young man standing on the stage, the old man muttered something to himself.
The proof has reached this point, and there is basically no suspense left.
At the same time, it was not just Deligne and Faltings who were discussing this issue. Sitting on the other side of the venue, almost the same discussion was also going on.
There was no sound in the silent venue.
Molina's face was full of shock. There is no doubt that this is a more ambitious and unattainable mountain than the Riemann Hypothesis. She doesn't understand why he has already accomplished such a great deed, why he still wants to establish it at this time. Such a flag.
"Maybe."
Just at that moment.
It's just that his shock was a little different from that of most people here.
Even she herself was one of those who was persuaded...
He growled softly, pounding his fist on his thigh excitedly, turning a blind eye to the slightly sullen gaze from the scholar next to him, and went his own way to vent the excitement in his heart.
"All I can say is that his proof is logically self-consistent."
Staring at the young man standing on the stage, the old man muttered something to himself.
"All I can say is that his proof is logically self-consistent."
"When did you start using such ambiguous terms to draw conclusions?"
His smooth calculations and clear ideas, as well as his amazing use and understanding of mathematical tools, have conquered almost all the audience present.
"This is it!"
She lost.
"...I was actually beaten first."
"This, this is too exaggerated."
After clearing his hoarse voice, Lu Zhou turned back to the silent venue and spoke slowly.
A locked iron door in his heart, together with the stone wall one step wide, collapsed in an instant. And behind the crumbling ruins, he saw a brand new world that he had never seen before...
Unifying Algebra and Geometry…
"More than 90%."
At this point, Lu Zhou paused and continued.
"At this point, we can answer the question about the distribution of non-trivial zeros of the Riemann zeta function with an affirmative statement. That is, all non-trivial zeros of the Riemann zeta function are located on the complex plane Re(s)=1 /2 on the straight line.”
Molina was silent for a while, lowering her eyes slightly.
This was the last thing he planned to do before retiring.
"More than 90%."
As Schulz said, it all seems to come from the void, like a performance that does not belong to this world.
"Unify...algebra and geometry? Oh my god!"
Sitting next to Molina, her former mentor Sophie Morel, a mathematics professor whose youth was long gone and crow's feet had begun to appear at the corners of her eyes, glanced at her former student and said in a soft voice.
Sitting under the stage and staring at the stage, Molina bit her lip, her fists resting on her knees constantly clenching and unclenching, her stubborn eyes full of unwillingness.
"As for myself, I may study the Dirichlet L function and the generalization of the Riemann hypothesis... that is, the generalized Riemann hypothesis. I may also study with my friends the theory behind the pair correlation function of the non-trivial zero points of the Riemann zeta function. Physically, it sounds exciting."
"As for myself, I may study the Dirichlet L function and the generalization of the Riemann hypothesis... that is, the generalized Riemann hypothesis. I may also study with my friends the theory behind the pair correlation function of the non-trivial zero points of the Riemann zeta function. Physically, it sounds exciting."
"Unify...algebra and geometry? Oh my god!"
Unexpectedly, there was such a coincidence. This plan had just begun, and someone came up with him.
Molina was silent for a while, lowering her eyes slightly.
At this moment, everything is quiet.