Eisenstein series and Selberg zeta function twisted by representations with non-expanding cusp monodromy

16.01.2019, 11:00  –  Haus 9, Raum 2.22
Arbeitsgruppenseminar Analysis

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.