The unification of algebra and geometry has been a topic for a long time.

In fact, this is not a real research direction, and it is even "contrary" to the general trend of the development of mathematics as a discipline.

After all, it is well known that the vast majority of disciplines move from shallow to deep waters, and the branches of research become like branches in the bushes, and the more prosperous they are, the more complex they become.

The development of mathematics as a discipline is the same today.

If two centuries ago, you could still find an all-round scholar like Gauss who was proficient in all fields, then now, even an IQ230 genius like Tao Zhexuan can only achieve a limited range of all-round and a limited range of mastery.

For most people, not to mention being able to be proficient, to be able to fully grasp the knowledge in a certain direction, and to make certain results on top of this, is already a scholar who can take charge of himself.

With the exception of a very small number of geniuses who suddenly have a similar idea for such a huge proposition as unified algebra and geometry, almost no one will be idle and bored to think about such a problem that is more impractical than proving a mathematical conjecture, let alone use it as a thesis proposal for this year.

However, it is precisely for this reason that these tasks, which can only be done by a few people, have become invaluable in the long history of mathematics.

Looking back at the time of Descartes and Fermat, the study of geometry through Cartesian coordinates was the first time that algebra and geometry methods were organically combined.

Imagine how surprised he would be to shove a lighter into the hands of a primitive man and tell him that he could work with a stick instead of him at the touch of a button.

Although this is a knowledge that even junior high school students can skillfully use, for the mathematical community at that time, this sensation can be said to be groundbreaking, and analytic geometry has almost dominated the mathematical world for several centuries, until 1857, a genius named Riemann proposed the theory of algebraic functions, and the first absolute invariant in the history of algebraic geometry - "deficit grid". Algebraic geometry was born, which was the end of the old era.

Later, there are still countless geniuses who have devoted themselves to this great work, constantly contributing to this bridge between algebra and geometry.

In the twentieth century, the three major structures proposed by the Bourbaki school dominated the entire structural mathematics, and all the plates with structural characteristics in mathematics can be defined as composed of three parent structures: "algebraic structure", "topological structure" and "order structure".

The "generalization theory" proposed by Grothendieck on this basis brought algebraic geometry into a new era, and the lecture notes he wrote in the seminar entitled "Fundamentals of Algebraic Geometry" were thus regarded as the bible of the substitute secretary and the academic community.

There are many people who invent a novel mathematical tool and create a discipline, but few people can connect these intertwined knowledge and find their unity in it.

As everyone can clearly see, the subdivision of disciplines is the general trend, and in the future, more and more branches of mathematics will develop and prosper with the development and prosperity of this discipline, and flourish with the efforts of countless ordinary or extraordinary people.

But in the same way, those tasks that carry forward the past and forge ahead must be done by someone......

In fact, the new generation of mathematicians after the Grothendieck era has made many attempts.

For example, Shinichi Mochizuki's theory in addition to the "Comic-Era Theory", the "Taishmüller Theory", proposed a "unique and obscure" method that unified the elements of algebra and geometry, but few people except his students could understand what he was trying to do.

Schultz, for example, has developed popularity in recent years and has been widely regarded as one of the most likely theoretical tools to unify algebra and geometry.

However, mathematical methods do not exist in isolation, but are born to solve problems.

And those mathematical conjectures are like touchstones, and only when the actual problems are truly solved, can the mathematical tools and methods created be accepted by the mathematical community.

Now that the Riemann conjecture has been proven, Lu Zhou is undoubtedly the closest person to the Holy Grail in the crown.

If, as Fermat's Great Theorem did for Wiles, the merits of proving the Riemann hypothesis have propelled him from the throne of the mortal world to the throne of God, then a step further and the Holy Grail will hopefully define new rules for the post-Grothendieck era.

Or, renaming this brand new era after him, there is no problem at all.

At the same time, Lu Zhou speculated that if he wanted to raise his math level to LV10 and embark on the first step of the road to the future, it was also necessary to complete this work to carry on the past and forge ahead into the future.

Even if the system didn't make any prompts for a while, he could clearly feel this.

After all, if there is any merit that can surpass the Riemann conjecture.

I'm afraid there is only one possibility left.

……

The presentation session was followed by a Q&A session.

Because many people's papers have not yet been finished, even after listening to his explanation, it still takes time to digest the huge amount of information.

Except for Tao Zhexuan and Schultz who stood up and raised a few interesting questions, the vast majority of scholars in their research fields and a little further away from this direction were very silent and cautious, and even when they got up to ask questions, they were asking questions that had little to do with the proposition of the Riemann conjecture itself.

For example, what does it mean to unify algebra and geometry in the last minute of the presentation? Has he already started working on the subject, or is he just talking about it?

However, Lu Zhou didn't want to answer this question, not to mention that it didn't have much to do with the proof of Riemann's conjecture, so most of the questions about this part were perfunctory by him.

But to be honest, Lu Zhou, who stood on the stage to answer questions, was actually quite surprised, he stayed at the IMU conference for so many days and didn't find that Professor Tao was actually here.

Unbeknownst to him, of course, that Professor Tao had arrived overnight from Los Angeles after looking at the preprint he had hung on Arxiv. And before that, he had no intention of coming to St. Petersburg at all......

The question session did not last long, and even ended much faster than expected, and in a round of applause, Lu Zhou bowed slightly, ending this epoch-making report meeting.

It was also over, this historic moment.

Before the applause stopped, Professor Holden, secretary general of the International Union of Mathematicians, walked up to the podium with a bottle of champagne in his hand and handed it to Lu Zhou.

"It was a gift from Hotel Klingthia and a gift to all of us. Open it, this centennial journey has finally come to an end, and it should be celebrated with wine. And this glory of history belongs to you! ”

In a round of applause, Lu Zhou took the champagne and nodded sincerely.

"Thank you."

"You're welcome...... By the way, if you plan to publish your work in a paper, I recommend Mathematical Inventions to you. In fact, I sincerely suggest that you do so, you have published enough articles in the Annals of Mathematics that if this continues, three of the top four journals will have to be delisted. ”

In the second half of the sentence, Professor Holden spoke in a voice that only two people could hear, and it was also a joking tone.

After hearing this, Lu Zhou was slightly stunned, and then smiled and said.

"I'll think about it."

Under everyone's gaze, Lu Zhou did as prompted by Professor Holden, shook vigorously and opened the champagne. The sweet foam seemed to have wings on the ceiling, and it also sprinkled many of the listeners sitting in the front row.

Lu Zhou originally wanted to apologize to these unfortunate guys, but instead of being angry, he saw that instead of being angry, they stood up with joy and laughter because they were sprayed, pulling the wet marks on their chests and showing off to their friends, but the faces of the professors who were not sprayed had envious and remorseful expressions on their faces.

Therefore, I am sorry for it, and I will do it.

The atmosphere at the scene was at its peak.

After pouring a glass of wine into the goblet handed by the hotel staff, Lu Zhou raised his glass to the audience, drank it all, returned the glass and the remaining champagne to Professor Holden, waved his hand, and walked outside the venue.

At this moment, the reporters waiting outside the lecture hall have been waiting for a long time.

If it weren't for the security guards at the door, the moment they heard the applause and whistles coming from the lecture hall, they would have wanted to rush in to find out.

Therefore, when the door of the lecture hall opened and Lu Zhou appeared at the door, a group of reporters immediately surrounded him like sharks smelling fish.

"Professor Lu Zhou, has the Riemann conjecture been proven?!"

"Will you go to the Collège de France to receive a million dollars from the Institut Clay? What do you do when you get your bonus? Will it be donated to those who need it? ”

"I've heard that your research was influenced by your student, Ms. Vera Puyuy, is this true?"

Does the resolution of the Riemann conjecture mean that the rules of modern cryptography will be rewritten? Are our cards and social accounts no longer secure? ”

"Professor Lu Zhou......"

Faced with the microphones that were frantically reaching out to him, and those questions that were sprinkled like beans, Lu Zhou didn't answer a word, and under the escort of a group of big men, his footsteps kept walking in the direction of the elevator.

Just a few minutes ago, the transfer had been arranged.

Whether it is a visa or other formalities, it has been completed.

If nothing else, Vera will be able to take a transfer plane from St. Petersburg directly to Beijing today, where experts from the 301 Hospital will take over the care.

And his flight back to China will be before the closing ceremony tomorrow morning.

There are still a lot of things to deal with compared to answering those boring questions......

Lamp pen