Gelfand pairs admit an Iwasawa decomposition (Nicolas Monod, EPFL)

15.10.2019 10:30

We will begin by recalling the notion of Gelfand pairs. The classical examples of Gelfand pairs come from simple Lie groups, simple algebraicgroups over local fields and tree groups. The concept, however, is very general leads to an abstract version of spherical harmonic analysis.
We shall explain that all Gelfand pairs share in fact another very strong property with the classical groups, namely: they admit an Iwasawa decomposition. This implies, for instance, a complete classification of non-positively curved Gelfand pairs, relying on earlier joint work with Caprace.


Room 623, Séminaire "Groupes et Géométrie"

Organisé par

Section de mathématiques


Nicolas Monod, EPFL

entrée libre


Catégorie: Séminaire

Mots clés: groupes et géométrie