Event time:
Wednesday, February 2, 2011 - 9:45am to 11:00am
Location:
215LOM
Speaker:
Misha Ershov
Speaker affiliation:
University of Virginia
Event description:
In this talk I will first outline a general method for proving property (T), first introduced by Dymara and Januszkiewicz in the context of groups acting on buildings and then extended to a purely algebraic setting. Then I will explain how this method can be applied to the class of groups graded by root systems. In particular, it follows that for any reduced irreducible classical root system of rank at least 2 and a finitely generated commutative ring R with 1, the Steinberg group St(R) and the elementary Chevalley group E(R) have property (T).
The talk will be primarily based on a joint work with Andrei Jaikin-Zapirain and Martin Kassabov.