From rational billiards to dynamics on moduli spaces
Dynamical Systems
2015-07-28 v2 Algebraic Geometry
Differential Geometry
Geometric Topology
History and Overview
Abstract
This short expository note gives an elementary introduction to the study of dynamics on certain moduli spaces, and in particular the recent breakthrough result of Eskin, Mirzakhani, and Mohammadi. We also discuss the context and applications of this result, and connections to other areas of mathematics such as algebraic geometry, Teichmuller theory, and ergodic theory on homogeneous spaces.
Keywords
Cite
@article{arxiv.1504.08290,
title = {From rational billiards to dynamics on moduli spaces},
author = {Alex Wright},
journal= {arXiv preprint arXiv:1504.08290},
year = {2015}
}
Comments
To appear in the Bulletin of the AMS. Version 2: Very minor revision