# The Ricci Flow on manifolds with almost non-negative curvature operator

 Orateur: CABEZAS-RIVAS Esther Localisation: Université de Francfort, Allemagne Type: Séminaire de géométrie Site: Hors LAMA , IMJ P7 Salle: 2015 Date de début: 28/11/2016 - 13:30 Date de fin: 28/11/2016 - 13:30

We show that $n$-manifolds with a lower volume bound $v$ and upper diameter bound $D$ whose curvature operator is bounded below by $-\varepsilon(n,v,D)$ also admit metrics with nonnegative curvature operator. The proof relies on heat kernel estimates for the Ricci flow and shows that various smoothing properties of the Ricci flow remain valid if an upper curvature bound is replaced by a lower volume bound.