Séminaire Gaston Darboux

Le vendredi 10 octobre 2014 à 11:15 - salle 431

Marc Troyanov
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.

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