Billiards in polygons, flat surfaces, and dynamics in moduli spaces

• 主讲人：Anton Zorich (University Paris Cité)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2022-12-08 20:00 - 2022-12-08 21:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/B5D9769E8EB78FF9E30359F4D01EF759
Valid Until: 2027-01-31 23:59

 

Abstract: We will start with a discussion of billiards, including Sinai billiards and Ehrenfest wind-tree model. The study of billiards would naturally lead us to flat surfaces and to dynamics in the moduli space of Abelian differentials. I will finish by trying to explain, why the recent Magic Wand Theorem of Eskin-Mirzakhani-Mohammadi and Filip is so astonishing.

 

Bio: Professor Anton Zorich is an outstanding expert in Geometry, Topology and Mathematical Physics (e.g. he studied close surfaces with flat metric, interval exchange transformations, Teichmüller flows etc.). He graduated from the Faculty of Mechanics and Mathematics of Moscow State University in 1984 and got his PhD degree in 1987 under the supervision of Acad. Sergei Novikov. In 2006, Anton Zorich was an invited speaker at the ICM in Madrid (topic: "Geodesics on flat surfaces"). Now he works as a Distinguished Professor of Mathematics at the Institute of Mathematics of Jussieu and University Paris Cité.