Representation Theory and Noncommutative Geometry, Paris

Mini-course: Minimal representations and applications 3/3

13 mars 2025, 14:00

1h 30m

Amphitheater Darboux (IHP)

Orateur

Gordan Savin (University of Utah)

Description

I will define minimal representations of $p$-adic groups and explain how one can work with them. As an application, using minimal representations, I will decompose certain Weil representations attached to multiplicity-free symplectic representations as defined and classified by Knop. These results are consistent with predictions in the relative Langlands program of Ben-Zvi, Sakellaridis and Venkatesh.