Mathematics Colloquium

Thursday, April 12, 2018
4:20 PM - 5:20 PM (ET)
Exley Science Center Tower ESC 121
Event Type
Canalia, Caryn

Aaron Brown, University of Chicago

Recent progress in the Zimmer program

Abstract: The Zimmer program refers to a number of questions and conjectures about actions of certain discrete groups, namely, lattices in higher-rank simple Lie groups.  The primary example example of a such a group is SL(n,R).

In the past few years, there has been significant progress in the Zimmer program.  In my talk, I will discuss a recent proof of Zimmer's conjecture which shows that (cocompact and certain non-uniform) higher-rank lattices do not act on manifolds with low dimension.  I will also discuss recent results and work in progress that classify all possible non-trivial actions under certain dynamical or dimension assumptions.

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