Mon, 16 Jun 2014
15:30 -
16:30
L6
Cohomology of deformations
Piotr Nowak
(Warsaw PAM)
Abstract
In this talk I will discuss a deformation principle for cohomology with coefficients in representations on Banach spaces. The
main idea is that small, metric perturbations of representations do not change the vanishing of cohomology in degree n, provided that
we have additional information about the cohomology in degree n+1. The perturbations considered here happen only on the generators of a
group and even for isometric representations give rise to unbounded representations. Applications include fixed point properties for
affine actions and strengthening of Kazhdan’s property (T). This is joint work with Uri Bader.