Title: Banach fixed point properties of groups

Abstract:

A countable group G is said to have property (FH) if every affine isometric action of G on a Hilbert space has a fixed point. A well-known Theorem states that this property is equivalent to property (T) and as such there are many examples of groups with property (FH), e.g., property (FH) is known to hold for SL_n (Z) when n is strictly greater than 2. 

The definition of property (FH) can be readily generalized to other Banach spaces and in my talk, I will discuss such generalizations and explain new results regarding such fixed point properties.

Livestream/Recording: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=ad6ef96b-7d14-4899-ba5b-b17f005b554c