Séance Séminaire

Séminaire Gaston Darboux

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.