Speaker:  Tobias Weich (Paderborn University)

Title: The spectrum of Anosov Subgroups

Abstract: For a convex cocompact discrete subgroup of SL(2,R), the resonance spectrum serves as the fundamental spectral invariant of the associated locally symmetric space. While the theory of Anosov subgroups has provided a successful generalization of convex cocompactness to higher-rank Lie groups, a corresponding spectral theory of resonances has been lacking.

In this talk, I will propose a definition of resonances for Anosov subgroups, building on microlocal methods for open hyperbolic dynamics introduced by Dyatlov and Guillarmou. Furthermore, I will explain how these analytic tools establish the meromorphic continuation of multivariate Poincaré series.