Mathematical Conversations
The Mahler conjecture, billiards and systolic inequalities
In 1939, Mahler asked whether the product of the volumes of a centrally symmetric convex body and its polar is minimized by a cube. He gave a positive answer to this question in dimension 2. In this talk I will explain how this is related to billiard dynamics through symplectic geometry and how a more recent conjecture of Viterbo implies that Mahler's conjecture holds.
Date & Time
October 05, 2022 | 6:00pm – 8:00pm
Location
Birch Garden, Simons HallSpeakers
Affiliation
Instituto Nacional de Matemática Pura e Aplicada; von Neumann Fellow, School of Mathematics