談話会・数理科学講演会
過去の記録 ~10/09|次回の予定|今後の予定 10/10~
担当者 | 足助太郎,寺田至,長谷川立,宮本安人(委員長) |
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セミナーURL | https://www.ms.u-tokyo.ac.jp/seminar/colloquium/index.html |
2023年06月05日(月)
15:30-16:30 オンライン開催
Curtis T McMullen 氏 (Harvard University)
Billiards and Moduli Spaces (ENGLISH)
https://u-tokyo-ac-jp.zoom.us/meeting/register/tZMkfu2grj4sE9ycW-1MmIQ-768hTpobQKAD
Curtis T McMullen 氏 (Harvard University)
Billiards and Moduli Spaces (ENGLISH)
[ 講演概要 ]
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.
[ 参考URL ]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.
https://u-tokyo-ac-jp.zoom.us/meeting/register/tZMkfu2grj4sE9ycW-1MmIQ-768hTpobQKAD