Invariant Subsets on Homogeneous Spaces
Presenter
August 23, 2011
Keywords:
- quantitative geometry
- semisimple algebraic groups
- semisimple representations of f.g. groups
- Zariski closure
- random walks
- homogeneous space
MSC:
- 46-xx
- 46Bxx
- 60G50
- 60G51
- 57Sxx
- 57S25
- 57S30
Abstract
I will report on a joint work with Jean-Francois Quint classifying closed invariant subsets on finite volume homogeneous spaces when the Zariski closure of the acting group is semisimple. I will emphasize the use of random walk technics in our proof.