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.

Date & Time

February 13, 2018 | 4:45pm – 5:45pm

Location

Simonyi Hall 101

Speakers

Igor Rapinchuk

Affiliation

Michigan State University

Event Series

Categories