# Dao Phuong Bac: On some topological properties of relative orbits of subsets

June 24, 2011 at 3:30pm.

## Abstract

Let be a -group, a discrete valuation on , the completion of , and let the ring of -adic integers. Assume that acts -morphically on an affine -variety . In this talk, we estimate the large measure of in and study some topological properties of when is an -dimensional torus. This problem is inspired from a natural question of F. Bruhat and J. Tits: if is a -torus then ?