Date/heure
29 mars 2018
14:15 - 15:15
Oratrice ou orateur
Caroline Bruère
Catégorie d'évènement Séminaire Théorie de Lie, Géométrie et Analyse
Résumé
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.