Tempered representations and K-theory

The Lp-dual space of a semisimple Lie group

24 févr. 2025, 15:00

1h

Amphithéâtre Hermite (Institut Henri Poincaré)

Orateur

Bachir Bekka (Université de Rennes)

Description

Given a group $G$ and a real number $p$, it is natural to study representations of G by linear isometries on $L^p$-spaces. Of course, the case where $p$ is equal to 2 corresponds to the familiar and much studied case of unitary representations of $G$. For a semisimple Lie group $G$, we will give a complete classification of all its irreducible $L^p$-representations, for $p\ne 2$.