The aim of the workshop is to understand the connection between classical topics in automorphic forms, including the theory of Hecke operators, and concepts from discrete geometry, notably Ehrhart theory for convex polytopes, which manifests itself in the study of suitable Hilbert-Poincaré series.

The workshop takes place at the Center for Interdisciplinary Research at Bielefeld University. Note that due to the current situation, the number of participants is limited and applications are not longer possible.



09:30-10:15h: Ehrhart theory I

10:15-10:45h: Coffee

10:45-11:30h: Ehrhart theory II

11:45-12:30h: Modular forms I

12:30-14:00h: Lunch

14:00-14:45h: Modular forms II

14:45-15:45h: Coffee

15:45-16:45h: Hecke theory for modular forms



09:00-10:00h: Hecke theory for Ehrhart polynomials

10:00-10:45h: Coffee

10:45-12:30h: Hilbert-Poincaré series and a result of Rodriguez-Villegas

12:30-14:00h: Lunch

14:00-15:00h: Period polynomials, their zeta functions and connections to Ehrhart theory

Coffee and discussions


Claudia Alfes-Neumann, Paderborn University

Christopher Voll, Bielefeld University

Funded by: