Peter Sarnak: Summation formulae in spectral theory and number theory (NTWS 063)
Channel: Number Theory Web Seminar
Date: 06/08/2023

A talk in honor of Zeev Rudnick's 60th birthday, Special Chair: Lior Bary-Soroker

Abstract: The Poisson Summation formula, Riemann-Guinand-Weil explicit formula, Selberg Trace Formula and Lefschetz Trace formula in the function field, are starting points for a number of Zeev Rudnick's works. We will review some of these before describing some recent applications (joint with P. Kurasov) of Lang's G_m conjectures to the additive structure of the spectra of metric graphs and crystalline measures.

Link to slides: https://drive.google.com/file/d/1WBZvgmt5DKFCnnQ-qDxZOTG0oXduSWQ3

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date: 
Thursday, January 14, 2021 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, January 15, 2021 (12am CST, 3am AEDT, 5am NZDT)