Representation Theory and Noncommutative Geometry, Paris

On the unitary dual of a p-adic group and the Aubert involution

4 mars 2025, 16:00

1h

Amphitheater Darboux (IHP)

Orateur

Darija Brajković Zorić (School of Applied Mathematics and Informatics, Josip Juraj Strossmayer University of Osijek)

Description

A significant aspect of representation theory research is determination of the unitary dual of a reductive algebraic group over a local non-archimedean field. We will look at the unitary dual of $p$-adic group $SO(7)$ with support on minimal parabolic subgroup. There is the conjecture stating that the Aubert involution preserves unitarity confirmed the conjecture for that case. This work is supported (in part) by the Croatian Science Foundation under the project number HRZZ-IP-2022-10-4615.