University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Finite-dimensional representations constructed from random walks

Finite-dimensional representations constructed from random walks

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact INI IT.

NPC - Non-positive curvature group actions and cohomology

Let an amenable group G and a probability measure \mu on it (that is finitely-supported, symmetric, and non-degenerate) be given. I will present a construction, via the \mu-random walk on G, of a harmonic cocycle and the associated orthogonal representation of G. Then I describe when the constructed orthogonal representation contains a non-trivial finite-dimensional subrepresentation (and hence an infinite virtually abelian quotient), and some sufficient  conditions for G to satisfy Shalom's property HFD . (joint work with A. Erschler, arXiv:1609.08585)



This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity