Polygonal billiards

par Oscar Bandtlow (Queen Mary University of London)

mardi 25 juin 2024, 11:00 → 12:00 Europe/Paris

Salle de conférences (LJAD)

Billiards are a class of dynamical systems given by a point particle moving inside a planar domain with elastic collisions at the boundary of the domain. In this talk I will provide an overview of the case where the domain is a polygon, which, in spite of the fact that it has been studied in considerable detail for a long time, is still not completely understood. In particular, I will report on recent work with Julia Slipantschuk and Wolfram Just which settles a long-standing open problem in this area.