Семинар <<Глобус>> Независимого Московского Университета: 4 августа в 15.40 в НМУ, конференц-зал

4 августа 2016 г.  

15:40, НМУ, конференц-зал

 

"100 лет закону Вейля"

Виктор Иврий (Ун-т Торонто)

In 1911–1912 Hermann Weyl published two papers (more followed) describing the distribution of the eigenvalues of the Dirichlet Laplacian in a bounded domain. These were among the first publications by Weyl and a new exciting field of mathematics was created. I will discuss:

• Weyl law with sharper remainder estimates (in particular, Weyl conjecture)

• Generalized Weyl law

• When the generalized Weyl law works and when it does not and how it should be modified


• What should be used instead of the eigenvalue counting function when the 

spectrum is not necessarily discrete?

• Weyl law and Thomas-Fermi theory

• Some open problems.

 

 

Страница семинара

 

 

28.07.2016 | Петров Леонид Александрович