University of Cambridge > Talks.cam > Number Theory Seminar > Arthur packets for p-adic groups and the wavefront set

Arthur packets for p-adic groups and the wavefront set

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  • User Emile Takahiro Okada, University of Oxford
  • ClockTuesday 08 February 2022, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Jessica Fintzen.

The construction of local Arthur packets is a key ingredient in understanding the decomposition of the automorphic discrete spectrum. In the archimedean case Adams, Barbasch and Vogan constructed local Arthur packets using an invariant coming from D-modules called the singular support. In the p-adic setting the singular support is not available and so the wavefront set – an invariant closely related to the singular support – is expected to play an important role. In this talk I will present new results on the wavefront set and some implications on the construction of local Arthur packets in the p-adic case. The results are based on joint work with Dan Ciubotaru and Lucas Mason-Brown.

This talk is part of the Number Theory Seminar series.

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