Recent Progress in Topological and Geometric Structures in Low Dimensions: Large-genus asymptotics for translation surfaces
Presenter
March 27, 2026
Keywords:
- Surfaces
- geometric 3-manifolds
- mapping class groups
- foliations
- fibrations
- Anosov flows
- Teichmuller space
- conformal structures
MSC:
- 57M50 - General geometric structures on low-dimensional manifolds
Abstract
Inspired by the well-studied case of hyperbolic surfaces, we can ask about the expected value of geometric properties of translation surfaces for large genus.
I will give an overview over a few results, most of them related to lengths of saddle connections and hence to Siegel-Veech constants. This is partly based on joint works with Howard Masur and Kasra Rafi.