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Arithmetic lattices and superrigidity

Student-Run Geometry/Topology Seminar

Speaker: Nicholas Miller, UC Berkeley
Location: 3106 MSB
Start time: Tue, Mar 10 2020, 11:00AM

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. No background on either will be assumed in the talk.