Dear all,
The next series of talks in GANT seminar is given by Polyxeni Spilioti (University of Göttingen) with first talk on Monday 1 April 2024, 2-3pm (Time in Greece, GMT+2).
Title: Trace formulas and dynamical zeta functions for non-unitary twists
Abstract: In this series of talks, we will present the dynamical zeta functions of locally symmetric spaces, for non-unitary twists. We will see how the twisted trace formula can be used to study the analytic properties of these zeta functions.
In the first talk, we will introduce the dynamical zeta functions of Selberg and Ruelle. Further, we will see how the representation theory of
Lie groups is involved and derive a Selberg trace formula for non-unitary twists, i.e., general, non-unitary, representations of the lattice we consider.
In the second talk, Monday 22nd of April, 2-3pm (Time in Greece, GMT+2), we will see how one can use the twisted trace formula to obtain the meromorphic continuation of the twisted zeta functions and study their special values. Time depending, we will present further connections with spectral theory and dynamics.
Zoom link: https://authgr.zoom.us/j/2586769419?pwd=dElhRGxrRlh0V003emc3ejRjSVZrUT09
Meeting ID: 258 676 9419
Passcode: 908335
Meeting ID: 258 676 9419
Passcode: 908335
The organizers,
Dimitrios Chatzakos
Maria Chlouveraki
Ioannis Dokas
Angelos Koutsianas
Chrysostomos Psaroudakis