Arithmetic counting and zeta functions

Speaker:

Valentin Blomer

Affiliation:

University of Bonn

Date:

Mon, 05/05/2025 - 10:00 - 11:00

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on "Asymptotic Counting and L-Functions" [3]

I present a variety of examples on the interplay of number theoretic counting problems and analytic properties of zeta functions. I take a closer look at the representation zeta function of SL(3, Z) and show how to obtain analytic continuation and a natural boundary for this function.

Arithmetic counting and zeta functions - a panorama