Thursday, August 4, 2016
15:40, IUM, conference hall
100 years of Weyl"s law
Victor Ivrii (Toronto University)
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.
| 28.07.2016 | Leonid Petrov |