Topology Seminar (Introductory Talk): Arithmetic lattices and superrigidity

Seminar | February 12 | 2:10-3 p.m. | 740 Evans Hall

 Nicholas Miller, UC Berkeley

 Department of Mathematics

My main goal for this talk is to describe Margulis's superrigidity theorem and how one can use a superrigidity type theorem to deduce arithmeticity of lattices. As such, I will review some basic examples of arithmetic lattices and then go on to discuss their general construction and the interaction between this construction and superrigidity. If time permits I will also try to highlight some of the ideas that go into the proof of superrigidity.