Joint IAS/Princeton University Number Theory Seminar

Topic: Abstract homomorphisms of algebraic groups and applications

Speaker: Igor Rapinchuk

Affiliation: Michigan State University

Date & Time: Tuesday February 13th, 2018, 4:45pm - 5:45pm

Location: Simonyi Hall 101

Video: https://video.ias.edu/puias/2018/0213-IgorRapinchuk

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.