On the strong approximation in algebraic groups
Presenter
February 7, 2012
Keywords:
- thin groups
- algebraic groups
- group theory
- expander graph
- monodromy group
- super-strong approximation
- lifting solutions
- integer and rational points
MSC:
- 43A46
- 43A05
- 43A07
- 43Axx
- 43-xx
- 20-xx
- 14Lxx
- 14L10
- 14L15
Abstract
I will give a survey of results on the strong approximation in algebraic groups. I will begin with the classical case of arithmetic subgroups and move towards subsequent more general statements for arbitrary Zariski-dense subgroups.