Title: The Brascamp-Lieb Inequalities for Planar Algebras

Abstract: The Brascamp-Lieb inequalities for a Euclidean space generalized many important inequalities such as Holder's inequality, Young's inequality, the Loomis-Whitney inequality, and have Gaussian functions as their extremisers under certain conditions. The bi-shift of biprojections for planar algebras introduced by C. Jiang, Z. Liu, and J. Wu have many properties analogous to the Gaussian functions for Euclidean spaces. In this talk, we introduce the Brascamp-Lieb inequalities for planar algebras.

Mathematical Physics Seminar