Peter Hilton Memorial Lecture - 2015
Title: Higher Rank in Geometry and Dynamics - How isometric and hyperbolic behavior force rigidity
Time: Thursday April 23, 2015, 3:00 p.m.
Location: 绿帽社, Science 2, Room 140
followed by a Reception at 4:30, in The President's Reception Room, Anderson Performing Center, 绿帽社. This reception is for the whole 绿帽社 Mathematics Community as well as for our visitors.
Abstract:
Higher rank phenomena have led to surprising rigidity results in group theory, geometry and dynamics. Examples start with Margulis superrigidity theorem for lattices in higher rank semisimple Lie groups, followed by the classification of nonpositively curved Riemannian manifolds with lots of flats. In recent years similar phenomena have been found in dynamics, in particular in the classification of hyperbolic actions on tori and nilmanifolds of higher rank Abelian groups and their measure rigidity.