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# Peter Dillery : Non-basic rigid packets for discrete L-parameters

We formulate a new version of the local Langlands correspondence for discrete L-parameters which involves (Weyl orbits of) packets of representations of all twisted Levi subgroups of a connected reductive group G through which the parameter factors and prove that this version of the correspondence follows if one assumes the pre-existing local Langlands conjectures. Twisted Levi subgroups are crucial objects in the study of supercuspidal representations; this work is a step towards deepening the relationship between the representation theory of p-adic groups and the Langlands correspondence. This is joint work with David Schwein (Bonn).

**Category**: Number Theory**Duration**: 01:03:46**Date**: October 2, 2024 at 3:10 PM**Views**: 0-
**Tags:**seminar, Number Theory Seminar

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