4 mars 2020

Ksenia Fedosova (Université de Freiburg)
Selberg zeta function twisted by representations with non-expanding cusp monodromy

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Lieu : Salle 3L8

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.

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