Invariant measures on affine grassmannians

Date/heure
29 mars 2018
14:15 - 15:15

Oratrice ou orateur
Caroline Bruère

Catégorie d'évènement
Séminaire Théorie de Lie, Géométrie et Analyse

In joint work with Yves Benoist, we study the action of the affine group $G$ of $mathbb{R}^d$ on the affine Grassmannian $X_{k,,d}$, that is, the set of affine $k$-spaces in $mathbb{R}^d$. When $G$ is endowed with a Zariski-dense probability measure, we give a criterion for the existence of an invariant probability measure. Such a measure, if it exists, is unique.