|ARITHMETIC HOMOGENEOUS SPACES|
|Topic:||Distribution of Compact Torus Orbits|
|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.