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Joint IAS/Princeton University Number Theory Seminar

Abstract homomorphisms of algebraic groups and applications

I will discuss several results on abstract homomorphisms between the groups of rational points of algebraic groups. The main focus will be on a conjecture of Borel and Tits formulated in their landmark 1973 paper. Our results settle this conjecture in several cases; the proofs make use of the notion of an algebraic ring. I will mention several applications to character varieties of finitely generated groups and representations of some non-arithmetic groups.

Featuring

Igor Rapinchuk

Speaker Affiliation

Michigan State University

Affiliation

Mathematics

Event Series

Video

https://video.ias.edu/puias/2018/0213-IgorRapinchuk
Date & Time
February 13, 2018 | 4:455:45pm

Location

Simonyi Hall 101

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