Higher rank lattice actions with positive entropy
By Homin Lee
In this talk, I will discuss about smooth higher rank lattice actions on manifolds with positive entropy. From dynamical information, we can detect information on groups and manifolds. For instance, when lattices in $SL(n,\mathbb R)$ act on an n-dimensional manifold with positive entropy, we can see that the lattice is abstractly commensurable with $SL(n,\mathbb Z)$.
This is joint work with Aaron Brown.