Séminaire Gaston Darboux :

Le 10 octobre 2014 à 11:15 - salle 431

Présentée par Troyanov Marc - EPF Lausanne

Recent Results in $L_{qp}$ Cohomology

I will recall the basic definition of (reduced and non reduced) $L_{qp}$ Cohomology of a non compact Riemannian manifold, and survey relation with other notions of geometric analysis such the $L_p$-Hodge theorem, quasi-conformal structures or the topology at infinity. I will also present several notions of $L_{qp}$ Cohomology on metric measure spaces and discuss conditions for invariance under quasi-isometry.