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From rational billiards to dynamics on moduli spaces

Author: Alex Wright
Journal: Bull. Amer. Math. Soc. 53 (2016), 41-56
MSC (2010): Primary 22E60, 15A57, 17B20, 58C35
Published electronically: September 8, 2015
MathSciNet review: 3403080
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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 its connections to other areas of mathematics, such as algebraic geometry, Teichmüller theory, and ergodic theory on homogeneous spaces.

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Additional Information

Alex Wright
Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois

Received by editor(s): May 8, 2015
Published electronically: September 8, 2015
Article copyright: © Copyright 2015 American Mathematical Society

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