Claudia Lückert

Wilhelm Killing Kolloquium: Prof. Dr. Peter Albers (Universität Heidelberg): Symplectic billiards, a gentle introduction

Wednesday, 08.05.2024 14:15 im Raum M6

Mathematik und Informatik

Usual (=Euclidean) billiard is physically motivated by a variational principle based on the length of cords. Replacing length by (symplectic) area leads to symplectic billiard. Through examples and pictures we will discuss first properties of and results for symplectic billiards for smooth curves as well as for polygons. Symplectic billiard has also a curious link to basic geometric approximation theory. Then we will see polygons on which symplectic billiards have surprising dynamical properties none of which are possible for Euclidean billiards. In the end I will present a theorem giving sufficient criteria for polygons to exhibit these dynamical properties. This is joint work with Sergei Tabachnikov, and Fabian Lander and Jannik Westermann.

Angelegt am Thursday, 14.03.2024 10:28 von Claudia Lückert
Geändert am Tuesday, 23.04.2024 13:41 von Claudia Lückert
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Kolloquium Wilhelm Killing
Vorträge des SFB 1442