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

Mercredi 4 mars 14:00-15:00 - Ksenia Fedosova - Université de Freiburg

Résumé : To a hyperbolic surface and a finite-dimensional representation of its fundamental group, we associate a Selberg zeta function. The main goal of the talk is to show that under the condition that the representations have non-expanding cusp monodromy (that in particular implies that such representations need not be unitary), the Selberg zeta function exists and admits a meromorphic extension to the whole complex plane. We will also show that outside this class of representations, the Selberg zeta function does not converge.

Lieu : Salle 3L8

Selberg zeta function twisted by representations with non-expanding cusp monodromy  Version PDF