Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-Fran\c{c}ois Barraud, Misha Bialy, Johanna Bimmermann, Ana Ch\'avez C\'aliz, Mihai Damian, Lina Deschamps, Umberto Hryniewicz, Vincent Humili\`ere, Boris Khesin, Levin Maier, Agustin Moreno, Alexandru Oancea, Olga Paris-Romaskevich, Alfonso Sorrentino
TL;DR
This paper compiles open problems in billiards and quantitative symplectic geometry discussed during a 2025 workshop, highlighting key unresolved questions in these mathematical fields.
Contribution
It presents a curated list of open problems in billiards and symplectic geometry, fostering future research directions.
Findings
Compilation of open problems in billiards and symplectic geometry
Highlights key unresolved questions in the fields
Serves as a resource for future research
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.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Polynomial and algebraic computation · Numerical methods for differential equations