Seminar : L2-spectrum, convergence exponents, and temperedness on locally symmetric spaces

Seminar| Institute of Mathematical Sciences

Time: Friday, March 15th, 2024 , 13:30-14:30

Abstract: In this talk we will discuss, on a locally symmetric space of higher rank and infinite volume, the relations between objects in three different topics: the bottom of the L2-spectrum of the Laplace-Beltrami operator, the convergence rate of the discrete subgroup, and the tempered representations. We will also talk about their implications for the Strichartz inequality, a key tool in the study of nonlinear dispersive equations.