02.07.2025, 9:15 - 10:15 Uhr
– 2.09.0.17
Forschungsseminar: Gruppen und Operatoralgebren
Surjunctive Groups
Rico Linke
Ksenia Fedosova (Albert-Ludwigs-Universität Freiburg)
In this talk, we investigate the behavior of the Eisenstein series, or generalized eigenfunctions of the Laplace operator on hyperbolic surfaces. We twist them by a (possibly) non-unitary representation of the fundamental group of the manifold, show their convergence on some half-plane and study their Fourier expansion.Further, we show the convergence and meromorphic continuation of the Selberg zeta function twisted by the same type ofrepresentations.