On the stage.
The seventh whiteboard was filled!
When the eighth whiteboard was dragged onto the stage, there was no suspense in the outcome.
The smooth calculations and clear thinking, as well as the amazing use of mathematical tools, had conquered almost all of the audience.
It turned out that pure complex function propositions could be so complicated and bizarre.
It turned out that the complex plane and the differential manifold, two concepts that didn't seem to be in the same dimension, could reach such a high degree of unity on the Riemann zeta function.
The pen hanging on the whiteboard was like Beethoven's baton. The messy prime numbers at the tip of his pen were like musical notes that were endowed with life, striking the heartstrings of everyone in the audience.
Just like what Schulz said, all of this seemed to come from the void, like it did not belong to this world.
The audience in the audience wished that this report would never end. They wished that the sound of their hearts would never stop.
It would be best if it continued like this until the entire universe was peeled off by the magical pen, revealing all the secrets of God's language to them...
Molina sat in the audience and stared at the stage. She bit her lip and clenched her fists on her knees. Her stubborn eyes were filled with unwillingness.
Layers upon layers of shackles that had trapped her for countless days and nights were easily cut off under the smooth strokes of the brush. He couldn't even stop for a second or even frown.
This feeling of powerlessness filled her with frustration.
Even though she wasn't qualified to make a conclusion on whether this proposition was proven or not, she could clearly tell from the lingering atmosphere that there was no suspense.
After all, that hint of sudden enlightenment wouldn't lie.
Even she herself was one of the people who had been convinced …
Sitting next to Molina was her former mentor, Sophie Morel. She was no longer young and had wrinkles around her eyes. She looked at her former student and spoke softly.
"In my opinion, there is at least an 80% chance that he did it … What do you plan on doing?"
Molina went silent for a while and lowered her eyes.
"I don't know, maybe I'll go home for a vacation …"
She spent ten years pursuing the answer to this proposition.
Even though she didn't want to admit this result, the undeniable truth was cruel.
She lost.
Seeing how depressed Molina was, Sophie sighed and comforted her.
"You shouldn't waste your time. Other than Riemann's conjecture, there are many other propositions in this world that are worth thinking about."
Molina went silent for a while and spoke.
"Maybe."
…
Yeah.
At this point, there was no longer any suspense.
Especially when the eighth whiteboard was halfway written, even Professor Faltings, who was sitting there without saying a word, suddenly narrowed his eyes.
Just a moment ago.
A certain locked iron door in his heart, along with the stone wall that was one step wide, collapsed with a loud bang in an instant. And behind the collapsed ruins, he saw a brand new world that he had never seen before ….
He couldn't remember the last time he had such a feeling.
He only remembered that he was very young back then. Back then, Grothendieck hadn't retired yet. He was young and energetic, and he wrote a "childish" letter to the pope of algebraic geometry …
Professor Deligné, who was sitting next to him, stared at the whiteboard meticulously. He suddenly spoke.
"Do you think he did it?"
Professor Faltings was caught off guard. He paused for a second and gave a conservative answer.
"More than 90%."
Professor Deligné, who was usually serious, suddenly smiled. He paused for a second and spoke.
"Since when did you start to use such ambiguous terms to draw conclusions?"
Professor Faltings' expression didn't change at all. Faltings, who was passionate about "Germanic humor", didn't retort. Instead, he spoke calmly.
"… After all, this is the Riemann conjecture, so we have to be careful. Also, don't just ask me for my opinion, what do you think? "
Professor Deligné went silent for a second. He then spoke.
"I can't find a suitable counterexample to refute him, just like I can't find a non-trivial zero point outside the critical line …"
Professor Deligné paused for a second and spoke in a confident voice.
"I can only say that his proof is logically self-consistent."
Professor Faltings looked at him with a slightly surprised expression. He didn't say anything and just looked away.
Even though Professor Deligné didn't say it explicitly, he already understood what he meant.
Lu Zhou's answer almost confirmed the proof of the person on stage. The only difference was a public statement …
On the other hand, Deligné and Faltings weren't the only ones discussing this problem. On the other side of the venue, the same discussion was going on.
When Fefferman saw Lu Zhou write down the key equation, he looked at Tao Zhexuan, who was sitting next to him.
"You're more authoritative than me in analytic number theory … What do you think?"
Professor Tao's eyes flashed with excitement. However, before he could speak, the slovenly man sitting not far from him clenched his fists in excitement and almost stood up.
"This is it!"
He growled in a low voice and excitedly hammered his thigh with his fist. He turned a blind eye to the slightly angry gaze of the scholar next to him and continued to vent the excitement in his heart.
It was as if he wasn't watching a report, but a football match.
Tao Zhexuan was dumbfounded. He looked at Professor Fefferman, who was also surprised. He shrugged and spoke.
"It seems like … Someone already answered this question for me.
"As for my opinion, I agree with him."
…
Lu Zhou wrote down the last line of equations.
He gently put down the pen on the whiteboard.
At this moment, the venue was completely silent.
Not a single sound could be heard in the venue.
Lu Zhou took two steps back and looked at the neat lines of equations on the whiteboard. He spent around half a minute reminiscing about this feeling. He recalled every step he took on this pilgrimage over the past few years …
He also gave the audience half a minute to sort out the content of what he just said.
After clearing his hoarse throat, Lu Zhou looked back at the silent venue and spoke slowly.
"Up to this point, we can answer the distribution of non-trivial zeros of the Riemann zeta function with a positive statement. That is, all non-trivial zeros of the Riemann zeta function are located on the line Re (s) = 1/2 in the complex plane.
"This proves that this is the end, and the unfinished exploration has finally come to an end. However, the exploration of the future has only just begun, and there are still many questions in this world that we don't know how to answer.
"For example, as the analytic continuation of the Dirichlet L series, are all non-trivial zeros of the Dirichlet L function also located on the line Re (s) = 1/2 in the complex plane? And what about the automorphic L function? We still can't give a positive answer to these profound questions.
"Historical experience tells us that every time we solve a problem, there will be more problems waiting for us. But I think this must be a happy problem, and our academia is flourishing because of it. "
Lu Zhou paused for a second and continued.
"I originally planned to wait for the academic community to give a clear definition of my thesis, but … in my opinion, it doesn't make any difference."
The silent venue was silent.
Lu Zhou felt a heavy sense of recognition from the silence. He nodded slightly and responded to all the expectant eyes. He raised his voice and continued.
"To answer the previous question, after the Riemann conjecture is completed, where will analytic number theory go?
"My answer is that this ancient discipline will definitely glow with new vitality and become more prosperous than ever.
"As for myself, I might study the Dirichlet L function and the generalization of the Riemann conjecture … which is the generalized Riemann conjecture. I might also study the physical meaning behind the non-trivial zeros of the Riemann zeta function with my friend. This sounds exciting enough.
"Of course, in fact, I think I'm more inclined to a more ambitious proposition."
After pausing for about three seconds, Lu Zhou looked around at the pairs of eyes gathered on him. He took a deep breath and said the words he wanted to say a long time ago in a relaxed tone.
"Which is, unifying algebra and geometry!"
The moment Lu Zhou said this, the entire venue was like a pot of boiling water, boiling in an instant!
Unifying algebra and geometry!
Shock, doubt, curiosity, confusion, contempt, and expressionless …
"Unifying … algebra and geometry? Oh my god! "
"This, this is too exaggerated."
"You're overestimating yourself! Whether the Riemann conjecture is solved or not depends on the academic community, yet you're already so arrogant! "
"But if it's him, maybe it's really possible …"
All kinds of noise converged into a surging torrent under the stage, impacting everyone's eardrums and nerves.
Academician Wang's eyes widened in surprise. He couldn't believe that Lu Zhou would suddenly say such a crazy idea.
Molina's face was full of shock. There was no doubt that this was a more ambitious and unattainable mountain than the Riemann conjecture. She didn't understand why he would raise such a flag when he had already completed such a great undertaking.
Similarly, Faltings's pupils also slightly dilated because of shock.
However, his shock was a little different from the majority of the people present.
Staring at the young man standing on the stage, the old man muttered to himself.
"… Someone beat me to it."
Unifying algebra and geometry …
This was the last thing he planned to do before retiring.
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