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2024.08.22 23:59

[QSMS Symplectic geometry seminar-20240822] Outer symplectic billiard

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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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