| ARITHMETIC HOMOGENEOUS SPACES | |
| Topic: | Distribution of Compact Torus Orbits |
| Speaker: | Manfred Einsiedler |
| Affiliation: | Princeton University |
| Date: | Friday, December 2 |
| Time/Room: | 11:00am - 12:30pm/S-101 |
Ideal classes in (totally real) number fields give naturally rise to compact orbits inside SL(n,Z)\SL(n,R) for the diagonal subgroup. We will discuss their (equi-)distribution properties as the field varies, and the two main ideas in our approach: bootstraping diophantine estimates to an entropy statement (Linnik's method), and the measure rigidity for higher rank torus actions. This is joint work with Lindenstrauss, Michel, and Venkatesh.