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UC Berkeley Colloquium: Groups, probability and representations March 15, 2018 (04:10 PM PDT - 05:00 PM PDT)
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Location: 60 Evans Hall
Speaker(s) Aner Shalev (The Hebrew University of Jerusalem)
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I will discuss recent results demonstrating interplay between group theory, probability and representation theory. These include:

1. a proof of conjectures of Gowers and Viola on mixing and communication complexity;

2. non-commutative Waring problems (joint work with Guralnick, Liebeck, O'Brien and Tiep extending classical theorems of Burnside and of Feit-Thompson);

3. a probabilistic Tits alternative for linear groups, and extensions for non-linear groups (joint work with Larsen);

4. characterizing probabilistically nilpotent groups.

The talk will be suitable for a wide audience.

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