Group actions on L^1 spaces

John Mackay (University of Bristol)

Thursday 12th September 16:00-17:00 Maths 311B

Abstract

An important (and classical) way to study groups is through their possible affine isometric actions on Hilbert spaces: this leads to the study of Kazhdan's Property (T) and related notions which have useful applications both in group theory and outside, e.g. in dynamics.  But it is natural to consider more flexible actions on other Banach spaces too.

We'll take a tour through this area, including some recent joint work with Drutu where we find new actions on L^1 spaces for groups with hyperbolic features.

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