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Open problems in billiards and quantitative symplectic geometry

Symplectic Geometry 2026-02-16 v1 Differential Geometry Dynamical Systems

Abstract

This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and quantitative symplectic geometry'' that took place at the University of Heidelberg on July 14--18, 2025.

Keywords

Cite

@article{arxiv.2602.12896,
  title  = {Open problems in billiards and quantitative symplectic geometry},
  author = {Bernhard Albach and Jean-François Barraud and Misha Bialy and Johanna Bimmermann and Ana Chávez Cáliz and Mihai Damian and Lina Deschamps and Umberto Hryniewicz and Vincent Humilière and Boris Khesin and Levin Maier and Agustin Moreno and Alexandru Oancea and Olga Paris-Romaskevich and Alfonso Sorrentino and Serge Tabachnikov},
  journal= {arXiv preprint arXiv:2602.12896},
  year   = {2026}
}

Comments

26 pages, 3 figures. Comments very welcome!

R2 v1 2026-07-01T10:35:16.753Z