Chapter 403: Voice of China on ICM

Chapter 403
The speakers who can be invited by the International Mathematical Union are certainly not mediocre, and most of the content described in the academic report belongs to the frontier direction of the field.
Outside the world, apart from the International Congress of Mathematicians held every four years, I am afraid that there is no chance to listen to several cutting-edge academic research in more than a dozen fields of mathematics.
Just after listening to a report by Professor Bill, Cheng Nuo has gained a lot.
Listening to the big man's speech can be more rewarding than Cheng Nuo's own research with his head down and behind closed doors for a week.
Cheng Nuo naturally cherishes this opportunity.
Rushing from this venue to that venue non-stop, I was very busy.
He is now like a sponge, constantly absorbing the knowledge from the ocean to enrich himself.
Because Cheng Nuo and Tan Weiwei are involved in different directions, Tan Weiwei currently focuses on number theory, so most of the lectures given by the number theory field are relatively loose.
In addition to listening to lectures in the direction of number theory, Cheng Nuo also planned to listen to more than a dozen reports in four or five other fields. Therefore, at night, Cheng Nuo had a tired face in the room with Tan Weiwei.
"Does it need to fight like that?" Tan Weiwei asked with a smile while holding a glass of juice.
Cheng Nuo sat down on the sofa.
Tan Weiwei asked, "How is your harvest?"
"The benefits are quite substantial." Cheng Nuo nodded, "I feel that what I have gained on this day is more than that of doing a high-end project!"
Cheng Nuo told the truth.
At the International Congress of Mathematicians, where the big names gather, what Cheng Nuo hears and learns every day is not comparable to what Professor Fresnel can do for a month.
Here, there are no fewer than ten experts at the same level as Professor Fresnel.
The International Conference of Mathematicians will be held for ten days. Cheng Nuo believes that after this baptism, his mathematics level can be improved to a higher level.
It is a pity that the math conference lasts only ten days, if it takes a year or a half...
Well, greed can't chew, even if it really lasts for a year or a half, Cheng Nuo's improvement is limited.
Even at the current intensity, after listening to an academic report, Cheng Nuo still has to digest it.
After talking briefly with Tan Weiwei about today's gains, and after arranging whether to continue the separate operations tomorrow, Cheng Nuo returned to his room.
…………
The next day, the second day of the conference.
Compared with the more than 2,000 mathematicians who were present at the opening ceremony on the first day, there were not many mathematicians active in the hotel this year.
Cheng Nuo didn't care what the less group of people did, and continued to listen to academic reports according to his schedule.
Cheng Nuo's first stop today was the partial differential conference.
In the morning, there will be four forty-five-minute academic reports, which are enough to make PED mathematicians addicted.
Professor Kulin reported on geometric analysis related content, Professor Jiemai talked about the long-term existence of water wave equations, Professor Goode reported on the application of geometric measurement theory in linear PDE singularity analysis, and Professor Maiha on exponential and power nonlinear heat equations Explanation of estimation in ExpLebesgue space.
The four professors are currently the top mathematicians in the field of partial differentiation, and Cheng Nuo did not miss this opportunity. The four lectures were almost never missed.
What impressed Cheng Nuo most was Professor Jiemai's report. The report has clear thinking and step by step. It first analyzes the difficulties of the problem and then solves these difficulties.
For example, the difficulty of solving equations of non-hyperbolic systems is solved through variable substitution, and the estimation of wave Sobolev inequality is improved by investigating the limit ODE system, so as to obtain the required attenuation of the L-∞ mode of the dissipative system.
These novel ideas gave Cheng Nuo great advice.
…………
In the afternoon, Cheng Nuo wandered in the three sub-venues of function theory, number theory, and geometry, and listened to the reports of several bigwigs.
In the evening, Cheng Nuo, who was about to relax, went to listen to a lecture by several invited speakers from China.
As mentioned before, there are a total of 18 Chinese mathematicians as invited speakers for one hour or forty-five minutes academic reports in their respective branch venues.
Among the 18, there are 3 academicians and 15 professors, of which 6 are honorary professors of world-class universities.
Cheng Nuo first listened to a lecture given by Academician Zhang Pingzhi. As the youngest associate dean of Peking University, Academician Zhang Pingzhi is only in his 50s this year, and he has not yet reached the golden age for mathematics research.
At the same time, Academician Zhang Pingzhi is also the winner of the Yangtze River Scholars, and his reputation in the domestic mathematics circle is higher than that of Professor Fang Ruoyu.
As the leader of the team to the United States, Academician Zhang Pingzhi and other seventeen mathematicians together formed the voice of China at the International Congress of Mathematicians.
Let everyone realize that China now does not want to be obscured in the lower corners of the pyramid as it did in the last century.
Mathematics is a game against loneliness. Behind every dazzling brilliance is the day-to-day thinking and meditation, after the tempering of the mind, what we have is a calmer and more persistent heart, and Chinese people have never lacked these. .
The subject of Academician Zhang Pingzhi’s report is "". The report reviews the latest research on singularity theory, focusing on their relationship with the minimal model program, including the structure and properties of dual complexes, and the logarithmic paradigm threshold value rising chain conjecture Proof and the latest developments in the "local stability theory" of klt singularities.
On the significance of scientific research, the content of the academician Zhang Pingzhi's presentation is not much lower than the academic reports of the few Philippine prize winners. UU reading www.uukanshu.com made the mathematicians who came to listen to the report a well-known trip.
At the same time, the remaining few invited speakers from China also gave lectures.
Professor Shi Changsheng, who was the director of the Chen Institute of Mathematics at the time, named it "", telling the latest progress of his research team in approximate reducibility and its application in the one-dimensional quasi-periodic Shrer operator spectrum theory. It marks that China's operator spectrum research has officially caught up with the international advanced level.
Zhang Wei, currently a professor at the Massachusetts Institute of Technology, was inspired by the formulas of mathematicians Gross and Wonderp. He reviewed the conjectures and theorems about self-declared periodic integrals, the special circles on the Shimura cluster, and their effects on L-functions and their The relationship between the central value of the derivative and the relative trace formula and the basic lemma conjecture of arithmetic are discussed. Through derivation, the proof method of the global Gan-Gross-Prasad conjecture was re-stated, which caused quite a stir.
Yu Zhiwei, who was the same age as Zhang Wei, proposed a relatively basic lemma, arithmetic basic lemma, and a higher Gross-Zagier formula, which pushed the research on autonomic representation in the function domain to another peak.
Unknowingly, China has become an existence that cannot be underestimated in the development of world mathematics.