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arXiv · 1004.2230

Supercuspidal L-packets via isocrystals

Tasho Kaletha
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Abstract

In a recent paper, DeBacker and Reeder construct and parameterize L-packets on pure inner forms of unramified p-adic groups, that consist of depth zero supercuspidal representations. We generalize their work to non-pure inner forms, by providing an alternative construction based on the theory of isocrystals with additional structure due to Kottwitz. Furthermore, we show the stability and endoscopic transfer for these L-packets.

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Tasho Kaletha. 2011-08-22. Supercuspidal L-packets via isocrystals. https://arxiv.org/abs/1004.2230

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