The GL(2,R) action on moduli spaces of translation surfaces
Presenter
January 20, 2015
Keywords:
- quotient schemas
- quotient polygons
- orientable surfaces of genus g
- discrete geometry
- grids and meshes
MSC:
- 54B15
- 54B17
- 51Exx
- 51Axx
- 51A20
- 51A25
Abstract
This three lecture mini-course will assume no prior background. The first lecture will introduce translation surfaces and their moduli. The second lecture will discuss the GL(2,R) action on these moduli spaces, and the connection to dynamical problems on translation surfaces. The third lecture will discuss orbit closures for the GL(2,R) action.