Stage.

The seventh whiteboard has been filled!

When the eighth whiteboard is dragged onto the stage, there is basically no suspense about the outcome of the game.

The fluency of calculations and clear thinking, as well as the amazing use and understanding of mathematical tools, have conquered almost all the audience at the scene.

It turns out that a pure complex function proposition can be so tortuous and bizarre.

It turns out that the complex plane and the differential manifold, two seemingly non-identical concepts at all, can achieve such a high degree of unity in the problem of the Riemann zeta function.

The pen hanging on the whiteboard is like Beethoven's baton. The chaotic primes on the tip of his pen are like notes that have been endowed with meaning of life, striking the heartstrings of everyone in the audience.

As Schultz said, it all seemed to come from the void, as if it were a performance that did not belong to this world.

The audience in the audience wished that the report would never end, and that the heartfelt sound that washed over their souls would never stop.

It is better to keep going like this until the whole universe is peeled away by the magical pen that reveals all the secrets of God's Word......

Sitting under the stage and staring at the stage, Molina bit her lip lightly, her fists resting on her knees kept clenching and loosening, and her stubborn eyes were full of unwilling colors.

The layers of shackles that had trapped her for countless days and nights were cut off one by one so lightly under the flowing brushstrokes that they couldn't even stop him for a second, even frowning.

This sense of powerlessness filled her with frustration.

Even if she is not qualified to make a conclusion about whether a proposition is proven or not, just from the atmosphere that lingers on the scene, she can clearly perceive that this is no longer a suspenseful thing.

After all, that hint of sudden opening is not deceiving.

Even she herself is one of the people who are persuaded......

Sitting next to Molina, her former mentor, Sophie Morel, a math professor whose youth was long gone and whose crow's feet had begun to crawl in the corners of his eyes, glanced at his former student and spoke in a soft voice.

"In my opinion, at least more than eighty percent of the chances, he did it...... What are you going to do? ”

Molina was silent for a moment, lowering her eyes slightly.

"I don't know, maybe I'll go home for a vacation first......"

She spent a decade searching for the answer to this proposition.

Although I don't want to admit such a result, the irreversible truth is so cruel.

It was she who lost.

Looking at the depressed Molina, Sophie sighed softly and said comfortingly.

"You shouldn't get bogged down in the horns, there are many propositions in this world that are worth thinking about, in addition to the Riemann conjecture."

Molina was silent for a moment, then raised her head and said.

"Maybe."

……

Yes.

At this point in the proof, there is basically no suspense left.

Especially when the eighth whiteboard was halfway through writing, even Professor Faltins, who had been sitting there without saying a word from the beginning, his pupils instantly contracted.

Just in a split second.

A locked iron door in his mind, along with the one-step-wide stone wall, collapsed in an instant. And behind the crumbling ruins, he saw a new world that he had never seen before......

He couldn't remember the last time he felt like this.

He only remembered that he seemed to be very young at that time, that Grothendieck had not yet gone into hiding, and that he had written a letter to the pope of algebraic geometry that seemed to him "childish" now......

Professor Deligne, who was sitting next to him, who had not said a word from beginning to end like him, and had just stared at the whiteboard meticulously, suddenly spoke.

"Do you think he did?"

Caught off guard by this question, Professor Faltins was slightly stunned, and after calming down, he gave a conservative answer.

"More than ninety percent."

Hearing this, Professor Deligne, who usually does not smile, suddenly smiled and paused for a moment before speaking.

"When did you start jumping to conclusions with such ambiguous wording?"

The expression on his face did not change in any way because of the ridicule of his old friend, and Professor Faltins, who was keen on "Germanic humor", rarely did not go back with a poisonous tongue this time, but said quietly.

“…… After all, it is the Riemann conjecture, and we have to be cautious. Besides, don't just ask my opinion, what do you think of it? ”

In response to this sharp rhetorical question, Professor Deligne was silent for a moment before speaking.

"I can't find a suitable counterexample to refute him for the time being, as if I couldn't find a non-trivial zero beyond the critical line......"

After a pause, Professor Deligne continued in an affirmative voice.

"All I can say is that his proof is logically self-consistent."

Professor Faltins gave him a slightly surprised look, but didn't say anything, just looked away from his face flatly.

Although he didn't say it explicitly, he already understood what Deligne meant.

This kind of answer is almost only one public statement different from the proof of the person on the stage......

At the same time, it wasn't just Deligne and Faltins who were discussing the issue, sitting on the other side of the room, and almost the same discussion was going on.

When he saw Lu Zhou write down the key line of calculations, Feverman looked at Tao Zhexuan, who was sitting next to him, and asked.

"You are more authoritative than me in the field of analytic number theory...... What do you think? ”

There was a look of excitement in his eyes, but before Professor Tao, who knew a little about anything, could speak, the raunchy man sitting not far from him clenched his fists excitedly and almost stood up.

"This is it!"

He let out a low growl, his fist slamming excitedly into his thigh, ignoring the slightly gloomy gaze of the scholar next to him, and venting his excitement as he went.

It's as if he was not watching a report meeting, but a passionate ball game.

Stunned, Tao Zhexuan, who had been interrupted, retracted his gaze, looked at Professor Feverman, who also had satisfaction written on his face, and shrugged his shoulders and said.

"Like...... Someone has already answered this question for me. ”

"As for my opinion, it's the same as him."

……

Write down with the last line of the equation.

With the pen hanging on the whiteboard, it was finally gently lowered.

At this moment, everything is quiet.

Not a single sound could be heard in the entire venue.

Taking two steps back, looking at the neatly handwritten lines on the whiteboard, Lu Zhou spent about half a minute to reminisce about this hearty feeling, and reviewed every step he had taken on this pilgrimage road over the past few years......

At the same time, he also gave the audience half a minute to sort out what he had just said.

After clearing his somewhat hoarse throat, Lu Zhou turned his head to face the silent venue and spoke slowly.

At this point, we can already answer the question of the distribution of nontrivial zeros of the Riemann zeta function with an affirmative statement. That is, all nontrivial zeros of the Riemann zeta function are located on a straight line with Re(s)=1/2 on the complex plane. ”

"The proof is over here, and the unfinished exploration has finally come to an end here. However, the exploration of the future has only just begun, and there are still many questions in the world that we don't know how to answer. ”

For example, as an analytic extension of the Dirichlet L-series, do all the non-trivial zeros of the Dirichlet L-function also lie on a line in the complex plane Re(s)=1/2? And what about the self-defending L-function? We still can't give a positive answer to these profound questions. ”

"The experience of history tells us that every time we solve a problem, there must be more problems waiting for us. But I think it must be a happy annoyance, and it is because of it that our scholarship has flourished. ”

Speaking of this, Lu Zhou paused and continued.

"There are some things I was going to wait until the academic community has come up with a clear definition of my thesis, but ...... It doesn't really make a difference to me. ”

The silent venue was silent.

Feeling the heavy recognition from the silent silence, Lu Zhou nodded slightly, responded to all the expectant eyes, raised his voice and continued.

"In response to the previous friend's question, what will happen to analytic number theory after the Riemann conjecture is completed?"

"My answer is that this ancient discipline will definitely be rejuvenated and more prosperous than ever."

"As for myself, I might study the Dirichlet L-function and generalizations about the Riemann conjecture...... The generalized Riemann conjecture, and my friend and I might study the physics behind the correlation function of the nontrivial zeros of the Riemann zeta function, which sounds equally exciting. ”

"Of course, in fact, I think I am more inclined to a grander proposition."

After pausing for about three seconds, looking around at the eyes that were converging on him in the venue, Lu Zhou, who had already unloaded all his burdens, took a deep breath, and said what he had wanted to say in a relaxed tone.

“…… That is, unify algebra and geometry! ”

Almost at the moment when Lu Zhou said this, the entire venue was like a pot of boiling water, boiling in an instant!

Unify Algebra and Geometry!

Shocked, skeptical, curious, confused, scornful, or expressionless......

"Unification...... Algebra and geometry? Oh, my God! ”

"That's, that's too much."

"I don't know how thick the sky is! Whether the Riemann conjecture is solved or not depends on how the academic community qualifies it, it is already so inflated! ”

"But if it's him, maybe it's really possible......"

All kinds of hustle and bustle converged into a rushing torrent in the audience, impacting everyone's eardrums and nerves.

Academician Wang's eyes widened in surprise, unable to believe that Lu Zhou would suddenly say such a crazy thought.

Molina's face was full of shock, there was no doubt that this was a mountain that was more ambitious and unattainable than Riemann had guessed, and she couldn't understand why he had already accomplished such a great thing, and why he would set such a flag at this time.

Similarly, Faltins' pupils dilated slightly in shock.

It's just that his shock is a little different from the vast majority of people here.

Staring at the young man standing on the stage, the old man muttered something to himself.

“…… It was actually preempted. ”

Unifying Algebra and Geometry......

That's exactly the last thing he intends to do before he retires.

I didn't expect it to be such a coincidence, this plan had just begun, and someone thought of him together.