13 mar 2018 -- 17:00 [open in google calendar]
Aula Seminari, Dip. di Matematica, Univ. Pisa
In a series of papers published around 1912, H. Weyl established an asymptotic formula for the eigenvalues of the Laplacian of bounded domains in 2 and 3 dimensions. His result, which turns out to be very useful in geometric analysis, was later on extended to bounded domains in any dimension, then to compact manifolds. In this talk, I will first explain the physical motivation of this result, namely the black body radiation problem, and then present a proof involving the so-called trace of the heat kernel.