The seminars take place on Wednesday afternoon, usually at 14:30 Italian time.
November 5th, 2025
Phan Thành Nam (Ludwig-Maximilians Universität München)
Weyl's law: from music to quantum mechanics
I will discuss the spectral theory of Schrödinger operators, ranging from the general question “Can we hear the shape of a drum?” to semiclassical approximations. In particular, I will focus on Weyl’s law and explore several open problems, including the Lieb–Thirring conjecture (on the semiclassical constant), the Pólya conjecture (on the first-order term of Laplacian eigenvalues), Weyl’s conjecture (on the second-order term of Laplacian eigenvalues), and the Hardy–Landau conjecture (related to the Gauss circle problem).
December 17th, 2025
Gian Michele Graf (ETH Zürich)
TBA
TBA
January 7th, 2026
Pedro Caro (BCAM)
TBA
TBA
February 25th, 2026
Antti Knowles (Université de Genève)
TBA
TBA
