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日時: 2023年6月5日(月) 15:30-16:30
Date: June 5, 2023 15:30-16:30
会場:東京大学大学院数理科学研究科 大講義室（オンライン開催）
Place: Lecture Room, Graduate School of Math. Sci. Bldg.(zoom online)
Curtis T McMullen 氏（Harvard University）
Curtis T McMullen (Harvard University)
Billiards and Moduli Spaces (ENGLISH)
The moduli space M_g of compact Riemann surface of genus g has been studied from diverse mathematical viewpoints for more than a century.
In this talk, intended for a general audience, we will discuss moduli space from a dynamical perspective. We will present general rigidity results, provide a glimpse of the remarkable curves and surfaces in M_g discovered during the last two decades, and explain how these algebraic varieties are related to the dynamics of billiards in regular polygons, L-shaped tables and quadrilaterals.
A variety of open problems will be mentioned along the way.