Title: Problems related to the Riesz-Sobolev and Brascamp-Lieb inequalities
Abstract: The Riesz-Sobolev inequality and Brascamp-Lieb inequality both involve multilinear integrals (without any oscillatory factor). We compare the different types of questions that have been asked about these inequalities. In particular, I will describe recent work studying maximizing configurations for a generalization of the Riesz-Sobolev inequality. I will also describe a recent weak Brascamp-Lieb inequality.