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L^2-Betti numbers of universal quantum groups

Presented by: 
David Kyed University of Southern Denmark
Thursday 18th May 2017 - 14:00 to 15:00
INI Seminar Room 2
I will report on joint works with Julien Bichon, Sven Raum, Matthias Valvekens and Stefaan Vaes, revolving around the computation of L^2-Betti numbers for universal quantum groups.  Among our main results is the fact that the first L^2-Betti number of the duals of the free unitary quantum groups equals 1, and that all other L^2-Betti numbers vanish.  All objects mentioned in the abstract will be defined, more or less rigorously, during the talk.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons