Thursday, February 22, 2018
LCB 222- 3:30PM
Beatrice Pozzetti, Heidelberg University
Abstract: An important application of bounded cohomology is the theory of maximal representations: a class of exceptionally well behaved homomorphisms of fundamental groups of Kaehler manifolds (most notably fundam\ ental groups of surfaces and finite volume ball quotients) in Hermitian Lie groups (as Sp(2n,R) or SU(p,q)). I will discuss recent rigidity results for maximal representations of fundamental groups of ball quotients on in\ finite dimensional symmetric spaces (joint with Duchesne and Lecureux) as well as surprising geometric properties of the more flexible maximal representations of fundamental groups of surfaces (joint with Burger).
May 7-11, 2018Topics in commutative algebra