University of Massachusetts, Amherst
Talk Title: A nonlinear Brascamp-Lieb inequality
Abstract: Inequalities play a central role in harmonic analysis. However, in many cases the fundamental question “When and how can one achieve equality?” is left unanswered. Answering these questions opens the door to proving stronger or perturbed versions of the inequality. In this talk, we will discuss how an improved understanding of the best constant in the Brascamp-Lieb inequality (really a family of inequalities which generalizes Holder’s inequality and Young’s convolution inequality among others) leads to a nonlinear version of the inequality. Time permitting we will discuss connections to computer science and number theory. Joint work with Jon Bennett, Neal Bez, Stefan Buschenhenke, and Michael Cowling.