Mini-course 3: Sieve in discrete groups, Part I
Presenter
February 7, 2012
Keywords:
- thin groups
- expander graph
- group theory
- Zariski closure
- algebraic groups
- monodromy group
- sieve methods
- mapping class groups
MSC:
- 43A46
- 43A05
- 43A07
- 43Axx
- 43-xx
- 20-xx
- 11N35
- 11R45
Abstract
We will describe how sieve methods interact with discrete groups of exponential growth, discussing the general framework underlying "small sieve" aspects and "large sieve" aspects, and presenting some of the applications as well as open problems.