Number of irreducible representations in the automorphic cuspidal spectrum

09.11.2021 13:15 - 14:45

Hongjie Yu (IST)

Let G be a semisimple split reductive group defined over a function field. We are interested in the sum of the multiplicities of the irreducible representations containing a regular zero level representation of G(O), where O is the ring of integer adeles, in the automorphic cuspidal spectrum. This sum is given in terms of the number of F_q-points of Hitchin moduli spaces of groups associated to G. I will also discuss some cases of Deligne’s conjecture on counting l-adic local systems.

Organiser:

H. Grobner, A. Minguez-Espallargas, A. Mellit

Location:

HS 10, 2. OG, OMP 1