University of Cambridge > > Number Theory Seminar > [Cancelled] Local Langlands in families for classical groups in the banal case

[Cancelled] Local Langlands in families for classical groups in the banal case

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  • UserRobert Kurinczuk, University of Sheffield
  • ClockTuesday 01 March 2022, 14:30-15:30
  • HouseMR13.

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

The conjectural local Langlands correspondence connects representations of p-adic groups to representations of Galois groups of local fields called Langlands parameters. In recent joint work with Dat, Helm, and Moss, we have constructed moduli spaces of Langlands parameters over Z[1/p] and studied their geometry. We expect this geometry is reflected in the representation theory of the p-adic group. Our main conjecture “local Langlands in families” describes the GIT quotient of the moduli space of Langlands parameters in terms of the centre of the category of representations of the p-adic group generalising a theorem of Helm-Moss for GL(n). I will explain how after inverting the “non-banal primes” we can prove this conjecture for the local Langlands correspondence for classical groups of Arthur, Mok, and others.

This talk is part of the Number Theory Seminar series.

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