RESEARCH IN RESIDENCE

Billiards and Polyhedra
Billard dans les polyèdres

09-20 October 2023

Participants

Pierre Arnoux (Aix-Marseille Université)
Jayadev Athreya (University of Washington)
Nicolas Bédaride (Aix-Marseille Université)
Patrick Hooper (City College of New York)

We want to focus on billiard inside polyhedron and theirs geometry.

We will work on the following subjects:

• Periodic billiard trajectory inside the tetrahedron: can we characterize tetrahedra which have a periodic orbit of length 4 ?
• Linear flow on the surface of a polyhedron.
• Periodic biliard trajectories inside rational polyhedra, following the recent work of Kedlaya et. al.

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