qsms.math.snu.ac.kr - [QSMS Symplectic geometry seminar-20240822] Outer symplectic billiard

Extra Form
일정시작	2024-08-22
일정종료	2024-08-22
배경색상	#FF5733

일정시작

2024-08-22

일정종료

2024-08-22

배경색상

#FF5733

Date: 2024-08-22 (Thu) 10:30 ~ 12:00
Place: 129-406 (SNU)
Speaker: Peter Albers (Universität Heidelberg)
Title: Outer symplectic billiard
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.

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[QSMS Seminar 2021.07.02] Lefschetz fibrations on cotangent bundles