Monday, Geometry and Topology Seminar, 3 Dec, Chandrika Sadanand. Title ” You can hear the shape of a polygonal billiard table”
Geometry & Topology Seminar
Speaker: Chandrika Sadanand (Technion)
Topic: You can hear the shape of a polygonal billiard table
Place: room 614 in the Science & Education Building
Time 12:10
Date: Monday, December 3, 2018
Abstract:
Consider a polygon-shaped billiard table on which a ball can roll along straight lines and reflect off of edges infinitely. In work joint with Moon Duchin, Viveka Erlandsson and Chris Leininger, we have characterized the relationship between the shape of a polygonal billiard table and the set of possible infinite edge itineraries of balls travelling on it. In this talk, we will explore this relationship and the tools used in our characterization (notably a new rigidity result for flat cone metrics).
