中央研究院數學研究所

Seminar in Representation Theory

On a parameterization of supercuspidal representations of depth zero

2025/12/18 (Thu.) 13:30~15:00

Date : 2025/12/18 (Thu.) 13:30~15:00
Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
Speaker : Amoru Fujii (University of Tokyo)
Abstract :
Through Yu's construction, the class of depth-zero supercuspidal representations plays an important role in representation theory of p-adic reductive groups. In this talk, I describe an idea for parameterizing them with L-parameters, and give an application for some simple adjoint groups. This parameterization should be a part of the local Langlands correspondence, as it satisfies the Hiraga--Ichino--Ikeda conjecture on the formal degree.
If time permits, I will comment on a generalization of this result for more general settings.