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A (possible) regularization of the Selberg zeta function

Ksenia Fedosova

Montag, 11. November 2019 16:15Uhr

Selberg zeta functions are zeta functions associated with the geodesic flow on a hyperbolic surface and, sometimes, a representation of the fundamental group of the surface. The spectral theory of the Selberg zeta for unitary representations is well-known, but, however, for certain no-unitary representations the Selberg zeta function may even not exist.

In the talk, I would like to suggest a way of the regularization of the Selberg zeta function to such types of non-unitary representations using the transfer operator approach.