|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||Abstract homomorphisms of algebraic groups and applications|
|Affiliation:||Michigan State University|
|Date:||Tuesday, February 13|
|Time/Room:||4:45pm - 5:45pm/Simonyi Hall 101|
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.