Selberg trace formula IMPIM

by Davide Macera (Universität Bonn)

Tuesday May 26, 2026, 4:30 PM → 5:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Seminar Room (Max Planck Institute for Mathematics)

Reading group on spectral geometry

This talk will begin with an introduction to the length spectrum of a compact hyperbolic surface and a derivation of the Length Trace Formula. We will then use this formula to prove Huber’s Theorem, establishing the equivalence between the length spectrum and the eigenvalue spectrum of the Laplacian. Finally, we will examine the trace of the heat kernel and its relationship to the eigenvalues, specifically focusing on the proof of the pretrace formula.