Linear Representations and Arithmeticity of Lattices in Products of Trees

LIE GROUPS, REPRESENTATIONS AND DISCRETE MATH
Topic:Linear Representations and Arithmeticity of Lattices in Products of Trees
Speaker:Shahar Mozes
Affiliation:IAS
Date:Tuesday, January 17
Time/Room:2:00pm - 3:15pm/S-101

Closed subgroups of the automorphism group of a tree which acts locally primitively have a rich structure theory. Combined with superrigidity for irreducible lattices in products of trees such that the projection in each factor is locally primitive one shows that such a lattice admits an infinite linear image over a field of charactersitic zero only when it is an extension of an arithmetic lattice. Joint work with Marc Burger and Bob Zimmer