コロキウム

Existence of invariant curves of the billiard system

立石萌 氏

2022年10月6日(木) 13時30分

総合研究10号館317号室 / Zoom会議 (ハイブリッド)

The billiard system consists of a billiard table (two- dimensional domain) and a billiard ball (point-mass). A ball moves straight in a table, and changes its direction at the boundary so that the angle of reflection is equal to the angle of incidence. In this system, a map from one collision point to the next on the boundary is an area-preserving map under an appropriate coordinate. The purpose of this study is to provide conditions about the existence or nonexistence of a billiard map of some ideal billiard tables. In this talk, I will talk about the future direction of my research.