Analytical Methods in Classical and Quantum Dynamical Systems
timetable:
Thu 30 Jun, 9:15 - 10:00, Aula Dini
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Ruelle zeta function at zero for surfaces of variable curvature
speaker: Maciej Zworski (University of California at Berkeley)abstract: For surfaces of constant negative curvature the Selberg trace formula shows that the order of vanishing of the Ruelle zeta function at 0 is given by the absolute value of the Euler characteristic of the surface. Using simple microlocal arguments we prove that this remains true for any negatively curved sufficiently smooth surface. Joint work with S. Dyatlov.
timetable:
Thu 30 Jun, 9:15 - 10:00, Aula Dini
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