Epipelagic Langlands parameters and L-packets for unitary groups

2017/11/07 by Feng, Tony, Ronchetti, Niccolo, Tsai, Cheng-Chiang
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1711.02762

Abstract

Reeder and Yu have recently given a new construction of a class of supercuspidal representations called epipelagic representations. We explicitly calculate the Local Langlands Correspondence for certain families of epipelagic representations of unitary groups, following the general construction of Kaletha [Kal15]. The interesting feature of our computation is that we find simplifications within L-packets of the two novel invariants introduced in [Kal15], the toral invariant and the admissible L-embedding.

Related

• On input and Langlands parameters for epipelagic representations
• Epipelagic L-packets and rectifying characters
• Functoriality for supercuspidal L-packets
• Supercuspidal L-packets
• Constructing local L-packets for tame unitary groups