Peter Sarnak, Summation formulae in spectral theory and number theory [2021]

A talk in honor of Zeev Rudnick's 60th birthday
Peter Sarnak, Summation formulae in spectral theory and number theory
(Institute for Advanced Study and Princeton University)
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.
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)
www.ntwebseminar.org/previous...