Periodic paths on the pentagon

Periodic paths on the pentagon

Geometry/topology Seminar

Diana Davis (Swarthmore College, Mathematics)

Monday, September 16, 2019 -
3:15pm to 4:15pm
Location: 
119 Physics

Mathematicians have long understood periodic billiard trajectories on the square table, which occur when the slope of the trajectory is rational. In this talk, I'll explain my work on periodic trajectories on the regular pentagon, describing their geometry, symbolic dynamics, and group structure. The periodic trajectories are very beautiful, and some of them exhibit a surprising "dense but not equidistributed" behavior. There will be lots of pictures. This is joint work with Samuel Lelièvre.

Last updated: 2019/09/19 - 10:21pm