Aarhus Universitets segl

Harmonic analytic and spectral characterisations of Arthur packets

Emile Okada (National University of Singapore)
Torsdag 27. juni 2024 13:15–14:15 Aud. F (1534-125)
Mathematics seminar

In their study of the unitary dual for complex reductive groups, Barbasch and Vogan gave a characterisation of the unipotent Arthur packets using a microlocal invariant called the wavefront set. In this talk I will present joint results with Maxim Gurevich in which we pursue this approach for classical p-adic groups. We find that the packets defined microlocally are a union of Arthur packets which can be characterised by a surprising spectral property, namely the existence of an invariant vector for a (not necessarily hyperspecial) maximal compact subgroup.

Organiseret af: SBiM
Kontakt: Jan Frahm Revideret: 24.06.2024