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

## Finite-dimensional representations constructed from random walksAdd to your list(s) Download to your calendar using vCal - Narutaka Ozawa (Kyoto University; Kyoto University)
- Thursday 16 March 2017, 11:00-12:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. 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. ## This talk is included in these lists:- All CMS events
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