CRM: Centro De Giorgi
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Sub-riemannian geometry and beyond, III

Hilbert spaces attached to Möbius spaces (MINI TALK)

speaker: Georg Gruetzner

abstract: In 2001, Y. Shalom asked if every hyperbolic group admits a uniformly bounded representation with a proper cocycle. In this talk we construct Sobolev spaces H(d) associated with a Möbius structure M. We show that M has a uniform Ahlfors-David constant, and use this observation to show that the norms on H(d) for different metrics d in the Möbius structure are comparable for a large class of functions. This is a partial result of a program to construct and study uniformly bounded representations for all hyperbolic groups

Wed 21 Jun, 15:00 - 15:30, Aula Dini
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