Epipelagic representations and rigid local systems

Authors: Zhiwei Yun

Publish Date: 2016/01/04

Volume: 22, Issue: 3, Pages: 1195-1243

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Abstract

We construct automorphic representations for quasisplit groups G over the function field F=kt one of whose local components is an epipelagic representation in the sense of Reeder and Yu We also construct the attached Galois representations under the Langlands correspondence These Galois representations give new classes of conjecturally rigid wildly ramified LGlocal systems over mathbb P10infty that generalize the Kloosterman sheaves constructed earlier by Heinloth Ngô and the author We study the monodromy of these local systems and compute all examples when G is a classical group

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