Chapter 1031: The future of number theory

On stage.
The seventh whiteboard has been filled!
When the eighth white board was dragged to the stage, there was basically no suspense in the outcome.
The smooth calculations and clear thinking, as well as the jedi's use and understanding of mathematical tools, have conquered almost all the audience at the scene.
The original purely complex function proposition can be so tortuous.
It turns out that the two concepts of complex planes and differential manifolds, which do not seem to be in the same dimension at all, can achieve such a high degree of unity on the question about the Riemann zeta function.
The pen hanging on the white board was like Beethoven's baton. The chaotic prime numbers at the tip of his pen are like notes that have been given meaning to life, striking the heartstrings of everyone in the audience.
As Schultz said, it all seemed to come from the void, as if it were not a performance in this world.
The audience sitting under the table can't wait for this report to never end, and the heartfelt that washed away their souls should never stop.
It's best to go on like this, until the entire universe is stripped of that magical pen, revealing all the secrets of God's language to them ...
Sitting on the stage and staring at the stage, Molina bit her lip lightly, her fists resting on her knees kept pinching and releasing, her stubborn eyes filled with unwillingness.
She had trapped her countless days and nights in layers, and under the brush strokes of cloud and water, she was cut off so lightly, and even stopped him for a second, even with a light brow. Here.
This sense of powerlessness filled her with frustration.
Even if she is not qualified to decide whether a proposition is proven, but from the atmosphere lingering on the scene, she can clearly see that this is no longer a suspense.
After all, it seems that the slightest bit of openness is not deceiving.
Even herself was the one who was convinced ...
Sitting next to Molina, her former mentor Sophie Morel, a math professor whose youth is long gone and her eyes have begun to climb into crow's feet, took a look at her former student and said in a soft voice .
"In my opinion, at least 80% of the possibilities, he did .... What are you going to do?"
Molina was silent for a moment, her eyes lowered slightly.
"I don't know. Maybe go home and take a vacation ..."
She spent ten years searching for the answer to this proposition.
Although unwilling to admit such a result, the irreversible fact is so cruel.
It was she who lost.
Looking at the depressed Molina, Sophie sighed softly and said comfortably.
"You should not get into the horns of the horns. In addition to Riemann's conjecture, there are many propositions worth thinking about."
Molina was silent for a moment and looked up.
"Perhaps."
...
Yes.
Prove that this step has been carried out, and basically no longer have any suspense.
Especially when half of the eighth whiteboard was written, even if Professor Faltins, who was sitting there silently from the beginning, his pupils shrank for a moment.
Just the moment.
A locked iron door in his heart, together with the one-step wide stone wall, collapsed in an instant. And after the collapsed ruins, he saw a brand new world like never before ...
When did he feel this last time, he couldn't remember clearly.
He just remembered that at that time he seemed to be very young, while Grothendieck had not yet retired, and the young and spirited himself wrote to the pope of the algebraic geometry world what he now thinks " Innocent "letter ...
Sitting next to him, he didn't say a word from start to finish, just staring meticulously at Professor Deligne, who suddenly stared at the whiteboard.
"Do you think he did it?"
Suddenly caught off guard by this question, Professor Faltins took a moment to hesitate, and after setting his mind, gave a conservative answer.
"More than 90%."
Hearing this sentence, Professor Deligne, who was always unsmiling, suddenly smiled, and said it only after a pause.
"When did you start drawing conclusions with this ambiguous wording?"
The expression on his face did not change in any way due to the ridicule of his old friends. Professor Faltins, who was enthusiastic about "German humor", rarely returned without poisonous tongues this time, but said quietly.
"... After all, Riemann's conjecture, we have to be cautious. Besides, don't just ask my opinion, how do you feel about it yourself?"
In response to this sharp question, Professor Deligne was silent for a while and said.
"I can't find a suitable counterexample to refute him for the moment, as if I can't find a non-trivial zero point outside the critical line ..."
After a pause, Professor Deligne continued with an affirmative voice.
"All I can say is that his proof is logically self-consistent."
Professor Faltins glanced at him with a slight surprise, but said nothing, but simply looked away from his face.
Although he didn't say it explicitly, he knew what Deligne meant.
This answer is almost the same as that of the person on the accreditation desk.
At the same time, not only Deligne and Faltins were discussing this issue, sitting on the other side of the venue, almost the same discussion was also ongoing.
When he saw Lu Zhou write down the line of key calculations, Fefferman looked at Tao Zhexuan sitting next to him and asked.
"Analytic number theory is more authoritative than mine ... What do you think?"
His eyes flashed with excitement, yet Professor Tao, who knew everything, had not had time to speak, and the sloppy man sitting not far from him squeezed his fists excitedly and almost stood up.
"This is it!"
He yelled softly, hammered his fist on his thigh in excitement, and turned a blind eye to the slightly dark eyes from the scholar next to him. He let out his own emotions.
It's as if he's not watching a briefing session, but a ball game.
Glancing in that direction, Tao Zhexuan, who was interrupted by the topic, retracted his gaze and looked at Professor Fefferman, who was also satisfied on the same face, and shrugged.
"It seems ... this question has already been answered for me."
"As for my opinion, he is the same."
...
With the last line of calculations written down.
With the pen hanging on the white board finally lowered gently.
At this moment Wan Wan is quiet.
No sound was heard throughout the venue.
Taking two steps back, looking at the neatly written lines on the whiteboard, Lu Zhou took about half a minute to reflect on this heartfelt feeling, reviewing the difficult journey on this pilgrimage road in the past few years. every step……
At the same time, he gave the audience half a minute to sort out what he just said.
After clearing his hoarse throat, Lu Zhou turned back to the quiet meeting place and slowly said.
"Here, we can already answer with a positive statement about the distribution of the non-trivial zeros of the Riemann zeta function. That is, all non-trivial zeros of the Riemann zeta function are located on the complex plane. Re (s) = 1 / 2 on a straight line. "
"Prove that it is over here, and that the endless exploration has finally come to an end here. However, the exploration of the future has just begun, and there are still many questions in the world that we do not know how to answer."
"For example, as an analytical extension of Dirichlet's L series, do all non-trivial zeros of the Dirichlet L function also lie on the straight line of the complex plane Re (s) = 1/2? And what about the self-defense L function? We still cannot give a definitive answer to these profound questions. "
"Historical experience tells us that whenever we solve a trouble, there will be more trouble waiting for us later. But I think it must be a happy trouble, and our scholarship is booming because of it. "
Having said that, Lu Zhou paused and continued.
"Some things I originally planned to wait until the academic community gave a clear characterization of my dissertation, but ... in my opinion, it makes no difference."
The silent meeting place was silent.
Feeling the heavy identification from the silent silence, Lu Zhou nodded slightly, responding to all the anticipating eyes, and raised the volume to continue.
"In response to the previous friend's question, after Riemann's conjecture is completed, what will happen to the analytical number theory?"
"My answer is that this ancient discipline is bound to renew its vitality and become more prosperous than ever."
"As for myself, I may study the Dirichlet L function and the generalization of the Riemann conjecture ... that is, the generalized Riemann conjecture, or I may study the correlation function of the non-trivial zero point of the Riemann zeta function with my friends. Physical meaning, it sounds equally exciting. "
"Of course, in fact, I think that I am more inclined to a more ambitious proposition ~ EbookFREE.me ~ After a pause of about three seconds, I looked around the eyes of those who gathered on myself in the conference hall, and have removed all The heavy-bearing Lu Zhou took a deep breath, and said in a relaxed tone what he had wanted to say.
"... that is, unified algebra and geometry!"
Almost as soon as Lu Zhou said this sentence, the entire venue was like boiling water in the same pot, and it instantly boiled!
Unified Algebra and Geometry!
Shocked, doubtful, curious, confused, sneered or expressionless ...
"Unify ... algebra and geometry? Oh my god!"
"This, this is too exaggerated."
"I don't know the heights and heights! Riemann guesses that if you don't have a solution, you still have to see how the academic world characterizes it, it's already so inflated!"
"But if it was him, it might really be possible ..."
All sorts of hustle and bustle converged into a galloping torrent under the stage, impacting everyone's eardrums and nerves.
Academician Wang widened his eyes in surprise, unable to believe that Lu Zhou would suddenly say such a crazy idea.
Shocked on Molina's face, there is no doubt that this is a mountain that is larger and unattainable than Riemann's conjecture. She does not understand that he has already accomplished such a great cause, why should he stand at this time? Such.
Similarly, Faltings' pupils were slightly enlarged by shock.
It's just that his shock was a little different from most of the people present.
Staring at the young man standing on the stage, the old man muttered in a low voice.
"... Being preempted."
Unified Algebra and Geometry ...
That was the last thing he planned to do before retiring.
I didn't expect that there was such a coincidence. This plan has just begun, and someone thought of going with him.