\(\ell_p\)-cohomology and conformal dimension

Marc Bourdon

(Université de Lille)

Event: ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces

Date: Oct 12, 2011, time: 09:30

Place: Centro De Giorgi, Scuola Normale Superiore

Abstract. We construct examples of hyperbolic group boundaries,
homeomorphic to the Sierpinsky carpet, with or without the Combinatorial
Loewner property, whose conformal dimensions are arbitrarily close to \(1\).
It answers a question of M. Bonk and of J. Mackay. (Joint work with Bruce Kleiner).