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Geometry and analysis of groups and manifolds

L^p-cohomology of Lie groups

speaker: Marc Bourdon (Université de Lille)

abstract: L^p-cohomology is a potentially interesting quasi-isometric invariant. For rank-one simple Lie groups, it has been studied in detail by Pansu. In higher rank, its study is less developed. Motivated by some questions by Gromov, we show that for p large enough, the L^p-cohomology is null in degree larger than the rank and non-null in degree equal to the rank. These results extend also to certain Lie groups of type AN. (Joint work with Bertrand Rémy).

timetable:
Fri 30 Jun, 9:00 - 10:00, Aula Dini
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