Seminar
| Parent Program: | -- |
|---|---|
| Location: | 60 Evans Hall |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=115994
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.