Reborn Technology Scholar

Chapter 235 Great inheritance

The professor glared at his student with some annoyance.

"What do you know, that's Grothendieck!" the professor said excitedly, waving his arms: "Remember, throughout the history of mathematics, the ancient Greek mathematicians were famous for their work with Euclid, Archimedes and Diophan. The three people in the figure have the greatest influence; Descartes and Fermat in the first half of the 17th century, and Newton and Leibniz in the second half of the 17th century. Judging from the subsequent development of history, Leibniz had a greater impact on mathematics, but Newton It has a greater impact on physics; in the first half of the 18th century, it was Euler, from the end of the 18th century to the first half of the 19th century, it was Gauss, and in the second half of the 19th century, it was Riemann and Poincaré who were tied together! In the first half of the 20th century, it belonged to Hilbert , and the second half is Alexander Grothendieck!”

"And if we have to choose one of the greatest mathematicians of the 20th century, it must be Grothendieck!" the professor taught his students earnestly.

Grothendieck, the real god in algebraic geometry. If you open any modern algebraic geometry textbook or monograph, you will frequently see terms such as groove-topology, groth-cohomology, and groove-ring. His theories support people. This is the evaluation of Alexander Grothendieck by nearly half of the mathematicians in the world today. Mathematicians look up to this maverick man in the same way that Christians look at the Pope.

Born in Berlin in 1928, he fled to Paris with his father after Adolf came to power; when he began to read, in his mathematics class, he could distinguish what was deep, what was superficial, and what was superficial without the teacher's prompting. What is correct and what is wrong? He found that the mathematics problems in the textbooks were always repeated and often isolated from those things that could give them meaning. "This is the problem of this book, not my problem" - maybe He was also in the second grade of middle school when he said this. But unlike the second graders, the second graders cannot change the wrong world, but Grothendieck can change mathematics.

While studying at the University of Montpellier, he rediscovered the concepts of measure theory and Lebesgue integral; after graduation, under the guidance of his teacher Shura, he returned to Paris to look for Henri García, an important figure in the Bourbaki school. At that time, there he met first-class mathematicians such as Claude Chavaret, Jean Delsa, Jean Didogne, Roger Goldman, Laurent Schwartz and Andre Weil. , and joined the Bourbaki school and pushed the Bourbaki school to its peak.

Michael Ardin of the Massachusetts Institute of Technology said that in the late 1950s and 1960s, "the mathematical world needed to adapt to him," and the declaration of his sophomore year became a reality; someone who visited his institute did not see any books , Grothendieck said, "We don't read books, we write our own books." He finally got rid of the wrong mathematics books.

In the 1950s and 1960s, Grothendieck carried out a complete revolution in algebraic geometry and published more than a dozen masterpieces. He established a grand and complete set of "general theory". His work can be regarded as the pinnacle of algebraic geometry. His work is known as the "Grothendieck Bible". His theory has shown its value. Based on the general theory, mathematicians have achieved one eye-popping achievement after another: for the first time, he gave An algebraic proof of the famous Riemann-Loch theorem.

It resulted in the following events:

In 1973, Deligne proved Weil's conjecture (won the 1978 Fields Medal);

In 1983, g.faltings proved the Model conjecture (won the 1986 Fields Medal);

In 1995, Wiles proved the Taniyama-Shimura conjecture and solved Fermat's Last Theorem, which has a history of more than 350 years (winner of the 1996 Fields Special Medal).

These achievements represent the highest level of contemporary mathematics and are enough to shine through the ages. Many geniuses and Fields Medals emerged in algebraic geometry in the 20th century, but there is only one God, and that is Grothendieck.

Affected by his father's death in a concentration camp during World War II and his depression after his mother's death, Grothendieck was also a radical ecology and environmental activist; for this reason, he declined the Fields Medal and the Crafford Medal.

He also resigned from the French Institute for Advanced Study because part of the funding came from the Ministry of Defense; he took away the microphone of the Lucian mathematician Pontryagin at the International Congress of Mathematicians because his report involved the problem of missile tracking aircraft.

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He left Paris in 1973 and moved to the countryside. In 1990, he left behind all his manuscripts and completely left the mathematical world and lived in seclusion, living in isolation from the world.

This scene appeared in every corner of the venue, where professors were teaching young mathematicians to let them know the identity of the old man.

All the scholars who learned about this old man's identity for the first time were shocked, and their mouths were opened so wide that they could fit an egg in.

None of the mathematicians who knew Grothendieck expected that the Pope of Mathematics would appear again at a mathematics seminar after decades!

You know, Grothendieck did not participate in the lecture that went down in history when Wiles proved Fermat's last theorem.

But now he actually came all the way to China to attend Qin Yuanqing's mathematics lecture. And he even stepped onto the podium with the support of his disciple Deligne.

President Chen and all the professors at Shuimu University were excited and trembling. They had never imagined that Grothendieck would come back to Shuimu University after decades. What an honor it was!

Qin Yuanqing also recognized Grothendieck at this time. He did not expect that the Pope of Mathematics would come to attend his lecture. Qin Yuanqing found it incredible. With Grothendieck's identity and status, a mere Goldbach conjecture could still be solved.

Not enough to attract him to come.

"Sir, sir, welcome to Shuimu University. Your arrival has made Shuimu University flourish. Your arrival also fills me with surprises and disbelief!" Qin Yuanqing walked up quickly and supported the old man.

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Although the two have different skin colors, different races, and come from different countries, in a sense, this has transcended skin color, transcended race, and transcended national boundaries. This is the top wisdom and wealth of mankind.

Based on Grothendieck's achievements, Qin, Yuan and Qing could only look up to him at this time!

Even if he solves a few of the seven major mathematical problems in the Millennium World, he will probably be able to be on an equal footing with the old man, and that's not necessarily, but just barely!

"Young man, I haven't seen a young mathematician as talented as you for a long, long time. Deligne told me about you before, and I became curious about you for some reason. It's a pity that you didn't go to France.

Didn't see you!" Grothendieck said slowly, but still clearly.

"Your performance is excellent. Deligne said that you are the most talented mathematician he has ever seen, and you may become the next me!" Grothendieck smiled kindly.

"Mr. Deligne praised me!" Qin Yuanqing said quickly.

"Haha, but I never think so. Everyone is unique. Grothendieck is Grothendieck. You are you. There is no need to be the next one!" Grothendieck smiled gently: "If it were early

After seeing you for a few years, I think I will be happy to accept you as my student! But now I don’t have much time left, God will take me away at any time!”

"Originally, I wanted it to accompany me to meet God, but now I want to give it to you. Maybe it can help you with your future travels!" Grothendieck said.

The more than 2,000 people in the entire auditorium were stunned. No one expected that Grothendieck would say this, this...this...

"This is the teacher's manuscript. We want to see it but the teacher is not willing to show it to us!" Deligne said with envy.

Uproar~~

More than 2,000 people in the entire auditorium were shocked. They had never thought that Grothendieck would give his manuscript to Qin Yuanqing. Although they did not know what manuscript was in the box, it was Grothendieck's.

The manuscript is extremely precious and has very high research value.

If anyone can get their hands on one of these papers, it could become a family heirloom!

"Sir...this...this is so precious!" Qin Yuanqing was also shocked. After all, as the world's top mathematician, Qin Yuanqing knew very well how precious the manuscripts of great mathematicians are.

Sometimes something pops up in his head and he writes it down on a piece of paper. Unfortunately, his train of thought breaks down. He keeps these drafts and sometimes takes them out to study. Maybe he will come up with something.

"Take it! I'm an 85-year-old man, half of my body has been buried in the ground, and sometimes I even hear God calling my name when I'm sleeping! It's of no use if it stays with me!" Gro.

Tendyk smiled and said, "If you want to repay me, you can study the Hodge conjecture when you have time in the future. I also studied it for a period of time back then and got some results. Unfortunately, something happened and I was not interested in studying it anymore. After all, it is a bit regretful!

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The Hodge conjecture is one of the seven major mathematical problems of the millennium. It is a major unsolved problem in algebraic geometry. At that time, Hodge proposed that it was about the algebraic topology of non-singular complex algebraic varieties and its definition subvariety.

The conjecture of the geometric correlation expressed by polynomial equations. On non-singular complex projective algebraic varieties, any Hodge class is a rational linear combination of algebraic closed-chain classes.

No one expected that Grothendieck had studied the Hodge conjecture and had research results.

"Sir, I will definitely solve the Hodge conjecture!" Qin Yuanqing took the box and said solemnly.

At this time, Wiles was the first to applaud, and Faltings also applauded. Then the applause seemed to be contagious and spread quickly. Everyone applauded. They did not expect that they were lucky enough to witness this scene and history.

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Yes, vaguely, they only felt that they had witnessed a inheritance in the field of mathematics, a great inheritance!