| 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