Geometric and arithmetic aspects of bounded orbits on homogeneous spaces
Presenter
February 5, 2015
Keywords:
- SL(3,R)
- Ratner's theorem
- unipotent subgroups
- Raghunathan's theorem
- algebraic subgroups
- Oppenheim conjecture
- SL(3,Z)
- hypersurface complements
MSC:
- 28D10
- 28Dxx
- 14Lxx
- 14L35
- 20Gxx
- 20G99
- 11Jxx
- 11J04
Abstract
This will be a case study of a particular theme in homogeneous dynamics which will highlight connections with Diophantine approximation. I will start with a historical survey and then will mention some new work, joint with Jinpeng An and Lifan Guan.