Talk Abstracts

This talk is based on joint work with Shohei Nakamura (University of Birmingham). The Brascamp–Lieb theory concerns the determination of optimal constants for multilinear integral inequalities and has found applications across a wide range of fields, including harmonic analysis, convex geometry, and information theory. In this talk, we focus on the inverse Brascamp–Lieb inequality and construct a variant of the inequality for multiple centered functions. Furthermore, we present recent applications of this result to problems in convex geometry, including the Gaussian correlation inequality.