14 nov 2023 -- 14:30
Aula C, Dipartimento di Matematica "G. Peano", Università di Torino
Differential Geometry Seminar Torino
Abstract.
A classic version of the Weyl Law describes the asymptotic behavior of the eigenvalues of the Laplace operator on a closed Riemannian manifold M in terms of its dimension and volume. In the 1970's, Donnelly and Bruenning--Heintze established a version when a compact group G acts on M by isometries: the rate of growth of eigenvalues associated to G-invariant eigenfunctions is controlled by the dimension and volume of the orbit space MG. I will describe a generalization where the decomposition of M into G-orbits is replaced with a singular Riemannian foliation. This is based on joint work-in-progress with Marco Radeschi and Samuel Lin.