Descents of unipotent cuspidal representations of finite classical groups

Abstract

Inspired by the Gan-Gross-Prasad conjecture and the descent problem for classical groups, in this paper we study the descents of unipotent cuspidal representations of orthogonal and symplectic groups over finite fields.

Revised version, accepted by Manuscripta Mathematica. arXiv admin note: text overlap with arXiv:1904.08188