The real god of algebraic geometry. If you open any modern algebraic geometry textbook or monograph, you will frequently see terms such as groovetopologyhlogygr. His theory has supported nearly half of the mathematicians in the world today. This is what he has to say about Alexander Groten. In Dick's assessment, mathematicians look up to this maverick man with the same sunshine that Christians look at the Pope.

Born in Berlin in 1928, he fled to Paris with his father after the Nazis came to power; when he began to read, in his math class, he did not need the teacher's prompting to distinguish what was deep and what was superficial. What is right is wrong. He found that the mathematics problems in the textbooks were always repeated and often isolated from those things that could give it meaning. "This is the problem of this book, not my problem." Maybe he said this I was in the second grade of middle school when I spoke. But unlike the second graders, the second graders couldn't change the wrong world, but Grothendieck could 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 Henry Cartan, an important figure of the Bourbaki school. , where he met first-class mathematicians such as Claude Chavare, Jean Delsa, Jean Didogne, Roger Godman, Laurent Schwartz and Andre Weil, and joined the Bourbaki school. Pushing 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 visited his institute but saw no books. "We don't read books. We write our own books," Grothendieck said, finally getting rid of the wrong mathematics book.

In the 1950s and 1960s, Grothendieck carried out a complete revolution in algebraic geometry. He published more than a dozen masterpieces and established a grand and complete "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 the Weil conjecture and won the 1978 Fields Medal;

In 1983, gfal proved the Model conjecture and 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, and won 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 Nazi concentration camp during World War II and his depression after the death of his mother, Grothendieck was also a radical ecology and environmental activist; for this reason, he declined the Fields Medal and the Crafford Medal. , and resigned from the French Institute of Advanced Studies 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 missile tracking aircraft. question.

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. Unexpectedly, even he was alarmed this time, and Lu Qiujian was very surprised.

Given Grothendieck's identity and status, a mere Poincaré conjecture seemed not enough to attract him; even more excited than Lu Qiujian were the teachers of Capital University and the mathematicians who had arrived earlier.

Mathematicians who learned of Grothendieck's arrival rushed to the hall to make a pilgrimage. Yes, in their hearts, Grothendieck was the incarnation of the god of mathematics on earth.

The president was even more excited. Grothendieck chose Capital University as his destination for re-emerging after more than ten years. What an honor it was.

Although he is over seventy years old, Grothendieck's mind is still sharp and he can quickly answer the questions raised by these mathematicians. However, he showed a hint of fatigue after just answering a few questions.

No one dared to disturb them. They quickly excused themselves and left. "Lu, teacher, please stay for a while." Just when Lu Qiujian was about to leave, Deligne made a request to stay.

"Okay, sir." Lu Qiujian closed the door gently and walked back, standing respectfully in front of Grothendieck.

"What do you think mathematics is?" Grothendieck looked at him for a while and then asked slowly.

Different people will have different answers to this question. Hardy would say, "Mathematics is beauty, and beauty is the first touchstone: ugly mathematics cannot last forever."

Engels's answer is more orthodox. "Mathematics is a science that studies quantitative relationships and spatial forms in the real world."

Russell believed that "mathematics is the class of all propositions of the form p implies q."

However, are these the answers Grothendieck wanted? Of course Lu Qiujian didn't think so. He thought about Grothendieck's experience carefully and then replied, "Mathematics is the need for human survival and the order of the universe.

reflect."

The reason why Grothendieck gave up mathematics was that he believed that there were more important things than mathematics, that is, "the need for survival and the promotion of a stable and humane order for our planet." Lu Qiujian's answer was that he agreed with mathematics.

Got up.

Grothendieck was neither right nor wrong, and asked other questions, "Pierre said that you are the most talented mathematician he has ever seen, and you may become the next me." He looked at Love.

Tu smiled and shook his head, "But I never think so. Everyone is unique. Grothendieck is Grothendieck, Deligne is Deligne, and Lv Qiujian will only be Lv Qiujian."

Qiu Jian"

"Okay, what else have you prepared this time? I read your article on arxiv a few days ago, and I seem to have a premonition that a storm in the mathematical world is coming." Grothendieck's eyes were deep and distant, without a trace of turbidity.

Maybe this was the purpose of attracting him here? Lu Qiujian felt a burst of joy in his heart. If he could persuade His Majesty the Pope to support him, then he would undoubtedly achieve great success at this report meeting, and then he would be a long way from completing the plan.

A solid step has been taken.

"I plan to give a speech on the last day of the report." Lu Qiujian opened his bag, took out the speech, and handed it over with both hands respectfully.

Grothendieck was fluent in English, German and French, and this manuscript was written in English, which he could fully understand.

Regarding Grothendieck, you can search for an article called "The Story of Pope Grothendieck as if from Void Algebraic Geometry". To be continued.

ps: Second update, this chapter quotes too much information, I'm sorry to charge for it, so I'll set it to free. If you like it, just give it a like.
Chapter completed!