Chapter 400 (2/2)
Cheng Nuo didn't care what the group of people did. He continued to listen to the academic reports according to his schedule.
Today, Cheng Nuo's first stop is the partial differential conference hall.
In the morning, there will be four 45 minute academic reports, enough to make ped mathematicians addicted.
Prof. Colin reports on geometric analysis, Jamie talks about the long-term existence of water wave equations, Professor Goode reports on the application of geometric measure theory in linear PDE singularity analysis, and Professor meha's explanation on the estimation of exponential and power nonlinear heat equations in explebesgue space.
The four professors are currently the top mathematicians in the field of partial differential. Cheng Nuo did not miss this opportunity, and the four lectures were almost heard all the time.
What impresses Cheng Nuo most is the report of Professor Jamie. The report has clear ideas and advances step by step. First, analyze the difficulties of the problem, and then solve these difficulties.
For example, variable substitution is used to solve the difficulty of non hyperbolic system, and the estimation of wave Sobolev inequality is improved by investigating the limit ODE system, so as to obtain the attenuation required by L - ∞ module of dissipative system.
These novel ideas give Cheng Nuo a lot of inspiration.
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In the afternoon, Cheng Nuo wandered in the three sub fields of function theory, number theory and geometry, listening to the reports of several big men.
In the evening, Cheng Nuo, who was ready to relax, went to a lecture by several invited speakers from China.
As mentioned earlier, there are 18 Chinese mathematicians as invited speakers to give one hour or 45 minute academic lectures in their respective sub venues.
Among them, there are three academicians and fifteen professors, six of whom are honorary professors of world-class universities.
Cheng Nuo first listened to a lecture by academician Zhang Pingzhi. As the youngest vice president of Peking University, academician Zhang Pingzhi is only in his fifties this year, which is considered to be the golden age for mathematical research.
At the same time, academician Zhang Pingzhi is also the winner of the Yangtze River scholars, and his reputation in the domestic mathematical circle is higher than that of Professor Fang Ruoyu.
As the leader of the delegation to the United States, academician Zhang Pingzhi and 17 other mathematicians formed the voice of China at the International Congress of mathematicians.Let people realize that China is no longer as unknown in the lower corner of the pyramid as it was in the last century.
Mathematics is a game against loneliness. Behind every bright and dazzling scene, we have a calmer and more persistent heart, which is never lacking in Chinese people.
The theme of academician Zhang Pingzhi's report is interaction between the singularity theory and the minimal model program. In the report, the latest research on singularity theory is reviewed, focusing on the relationship between them and minimal model program, including the construction and properties of dual complex, proof of logarithmic canonical threshold ascending chain conjecture, and ”local stability theory” about KLT singularity The latest development of.
On the significance of scientific research, academician Zhang Pingzhi's content is no less valuable than the academic reports of those Nobel laureates. Mathematicians who came to listen to the report cried out that it was a worthwhile trip.
At the same time, several other invited speakers from China also gave lectures.
Professor Shi Changsheng, then director of the Institute of mathematics at that time, was named ”quantitative almost conductivity and Its Applications” to describe the latest development of his research team in approximate reducibility and its application in the spectral theory of one-dimensional quasi periodic Schr ü dinger operators. It indicates that China's research on operator spectrum has officially caught up with the international advanced level.
Inspired by the mathematician gruss and vandepp's formula, Zhang Wei, now a professor at MIT, reviews the conjectures and theorems of voluntary periodic integrals, special cycles on Zhicun clusters, and their relationship with the central values of L-functions and their derivatives. He also discusses the relative trace formula and the basic mathematical lemma conjecture. Through derivation, the proof of the global Gan gross Prasad conjecture is described again, which causes a great sensation.
At the same age as Zhang Wei, taboo Zhiwei proposed a higher gross Zagier formula with relative basic lemma, arithmetic basic lemma, which pushed the research of automorphic representation on function field to another peak.
Unknowingly, China has become a world in the development of mathematical research, can not be underestimated.