# Distinguished regular supercuspidal representations

Research paper by Chong Zhang

Indexed on: 16 Feb '17Published on: 16 Feb '17Published in: arXiv - Mathematics - Representation Theory

#### Abstract

Based on recent work of Kaletha, we aim to apply Hakim-Murnaghan theory to study distinguished regular supercuspidal representations of tamely ramified p-adic reductive groups, and investigate the relation between distinction and Langlands functoriality. Assuming p is sufficiently large, we obtain a necessary condition in general case, and sufficient and necessary conditions in depth-zero case, for regular supercuspidal representations to be distinguished.