- Date: 2024-08-22 (Thu) 10:30 ~ 12:00
- Place: 129-406 (SNU)
- Speaker: Peter Albers (Universität Heidelberg)
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Title: Outer symplectic billiard
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Abstract: We introduce a new type of billiard dynamics about an arbitrary submanifold inside a symplectic vector space. While the definition is direct and elementary, this billiard map is motivated by a (loose) analogy/translation from the standard Euclidean billiard. We study basic dynamic questions e.g. concerning existence of periodic orbits etc. Then we explore two interesting cases, where the submanifold is a curve respectively a Lagrangian submanifold. The latter has an intriguing connection to a theorem by Hopf from 1940.
The talk does not assume prior knowledge of billiards and only rather basic knowledge of (linear) symplectic geometry. This is joint work with Ana Chavez-Caliz and Sergei Tabachnikov.
