Chapter 1033 The Champagne of Victory

The unification of algebra and geometry has been a long-standing topic.

In fact, this is not an actual research direction, and it is even "running counter to" the general trend of the development of the subject of mathematics.

After all, as we all know, most of the disciplines move from shallow water to deep water, and the branches of research will be like branches in a bush. The more prosperous they become, the more complex they become.

The development of the subject of mathematics is the same until now.

If it is said that two centuries ago, an all-round and proficient scholar like Gauss could be found, then even a genius with an IQ of 230 like Terence Tao can only achieve a limited range of omnipotence and a limited range of proficiency. .

For most people, not to mention being able to be proficient, being able to fully grasp the knowledge in a certain direction, and making certain achievements on it, is already a scholar who can stand on his own.

For the huge proposition of unifying algebra and geometry, except for a few geniuses who will suddenly come up with similar ideas, almost no one will be idle and bored thinking about this kind of proposition that is more irrelevant than proving a certain mathematical conjecture. It is not a practical question, and it will not be used as the opening report for this year.

However, it is precisely because of this that these tasks that can only be done by a few people are extremely precious in the long history of mathematics.

Looking back at the era of Descartes and Fermat, people combined algebra and geometry for the first time to study geometric figures through Cartesian coordinates.

Imagine putting a lighter in the hands of a primitive man and telling him that just pressing a button can replace the results of tens of minutes of labor with a wooden stick, how surprised he will be?

Although this is knowledge that even junior high school students can use proficiently, but for the mathematics circle at that time, the sensation in it can be said to be groundbreaking, and analytic geometry has almost dominated the mathematics circle 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 - "genus". Algebraic geometry was born thus, and it is considered as the end of the pattern of the old era.

Later, countless geniuses continued to devote themselves to this great cause, constantly adding bricks and tiles to this bridge connecting algebra and geometry.

In the 20th century, the three major structures proposed by the Bourbaki School governed the entire structural mathematics. All sections in mathematics with structural characteristics can be defined as "algebraic structure", "topological structure", and "order structure". It consists of three parent structures.

On top of this, Grothendieck's "Prototype Theory" brought algebraic geometry into a new era, and his lecture notes in the seminar entitled "Fundamentals of Algebraic Geometry" were also regarded as Served as the acting secretary and academic bible.

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

As everyone can clearly see, the subdivision of disciplines is the general trend. In the future, with the development and prosperity of this discipline, there will be more and more branches of mathematics. Thanks to the efforts of countless ordinary or extraordinary people Leafy.

But at the same time, those jobs that continue the past and open up the future must be done by someone...

In fact, the new algebraic mathematicians after Grothendieck's time have made many attempts.

For example, Shinichi Mochizuki’s other set of theories besides the “Cosmic Period Theory”——“Katesh-Miller Theory” proposed a set of “unique and obscure” methods to unify algebraic elements and geometric elements At the same time, except for his students, few people can understand what he wants to do.

Another example is Schulz, whose P-adic number and perfect space theory have become popular in recent years, and have 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. Only when the actual problems are really solved can those created mathematical tools and methods 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 above the crown.

If it is like Fermat's last theorem to Wiles, it proves that the merits of Riemann's conjecture have pushed him from the throne of the mortal to the throne of God, then if he takes another step forward, he who touches the Holy Grail will hopefully be the next The Grothendieck era defines new rules.

Or, renaming this brand new era after him would have no problem at all.

At the same time, Lu Zhou speculates that if he wants to raise his math level to LV10 and embark on the first step leading to the future, it is also necessary to complete this task of carrying forward the past and opening up the future.

Even if the system didn't give any prompt for the time being, he could clearly feel this.

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

That's probably the only possibility left.

...

After the report, there will be a question and answer session.

Because many people have not finished their papers, even after listening to his explanation, it still takes time to digest the huge information.

Except for Terence Tao and Schultz who stood up and raised a few interesting questions, most scholars in the field of research and this direction are very silent and cautious. Even if they get up to ask questions, they ask Some questions that have little to do with the proposition of the Riemann Hypothesis itself.

For example, what exactly does he mean by the sentence he said at the last moment of the report - unifying algebra and geometry? Has he already started researching this topic, or is he just talking casually.

However, Lu Zhou didn't want to answer this question, not to mention that it has nothing to do with the proof of Riemann's conjecture, so most of the questions about this area were perfunctory.

But to be honest, Lu Zhou who was standing 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 here.

Of course, he didn't know that Professor Tao came from Los Angeles overnight after reading the preprint he hung on Arxiv. Before that, he had no intention of coming to St. Petersburg at all...

The questioning session didn't take long, and it even ended much faster than expected. Amid the applause, Lu Zhou bowed slightly, ending this epoch-making report.

It is also over, this historic moment.

The applause hadn't stopped yet, 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.

"This is a gift from Corinthia Hotel, and it is also the heart of all of us. Open it, this century-old journey has finally come to an end, and it should be celebrated with fine wine. And the glory of this history belongs to you!"

Amid the applause, Lu Zhou took the champagne and nodded sincerely.

"thanks."

"You're welcome... By the way, if you plan to publish your results in a paper, I recommend Mathematical Inventions to you. In fact, I sincerely recommend you do so. You have published enough in the Annals of Mathematics. If this continues, three of the top four journals will 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 in a joking tone.

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

"I will think about it."

Under everyone's gaze, Lu Zhou followed Professor Holden's prompt and opened the champagne after shaking vigorously. The sweet foam seems to have wings, sprayed on the ceiling, and sprinkled many audiences sitting in the front row.

Lu Zhou originally wanted to apologize to these unfortunate guys, but instead of being angry, he saw that they were not angry, but they were happy because they were sprayed all over. On the contrary, the faces of the few professors who were not sprayed showed envy and remorse.

Therefore, the matter of being sorry, I just let it go.

The atmosphere at the scene reached its peak.

After pouring a glass of fine wine into the goblet handed over by the hotel staff, Lu Zhou raised his glass to the audience. After drinking it all, he returned the glass and the rest of the champagne to Professor Holden. He waved his hand and walked out of the venue.

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

If they were not blocked by the security guards at the door, they would have rushed in to find out the moment they heard applause and whistles from the lecture hall.

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

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

"Will you go to the French Academy to receive the one million dollar prize from the Clay Institute? What will you do after you get the prize? Will you donate it to those in need?"

"I heard that your research was influenced by your student, Ms. Vera Puyouyi. Is this true?"

"Does the solution of the Riemann Hypothesis mean that the rules of modern cryptography will be rewritten? Are our bank cards and social accounts no longer safe?"

"Professor Lu Zhou..."

Facing the microphones that were frantically reaching out to him, and the questions that were sprinkled like beans, Lu Zhou did not answer a word. Under the escort of a group of burly men, he walked towards the elevator door direction to go.

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

Whether it is a visa or other procedures, all have been completed.

If there is no accident, Vera will be able to take the transfer plane today, fly directly from St. Petersburg to Shanghai, and the experts from the 301 Hospital will take over the nursing work.

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

Compared to answering those boring questions, there are still many things waiting for him to deal with...