Faculty of Mathematics
Collaborative Research Centre 701
Spectral Structures and Topological Methods in Mathematics

# Wednesday, January 11, 2017 - 14:00 in T2-214

## Zeta integrals and the trace formula

A talk in the 'Arithmetic Seminar Göttingen - Bielefeld' series by
Werner Hoffmann from Bielefeld
 Abstract: The method of analytic continuation of zeta integrals due to Hecke and Tate has been generalized to the setting of prehomogeneous vector spaces. I will describe instances where convergence can only be achieved by truncation. Special values of such zeta integrals appear in the Arthur-Selberg trace formula, and their study is relevant in connection with recent ideas in the Langlands program.