Finite-dimensional representations constructed from random walks
- π€ Speaker: Narutaka Ozawa (Kyoto University)
- π Date & Time: Thursday 16 March 2017, 11:00 - 12:00
- π Venue: Seminar Room 2, Newton Institute
Abstract
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)
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Narutaka Ozawa (Kyoto University)
Thursday 16 March 2017, 11:00-12:00