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arXiv · 1711.02762

Epipelagic Langlands parameters and L-packets for unitary groups

Tony Feng·Niccolo Ronchetti·Cheng-Chiang Tsai
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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.

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Tony Feng, Niccolo Ronchetti, Cheng-Chiang Tsai. 2017-11-07. Epipelagic Langlands parameters and L-packets for unitary groups. https://arxiv.org/abs/1711.02762

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