Log-concavity and Matroids - Part 3

This lecture, part of the 2025 Program for Women+ and Mathematics, explores the fascinating connection between log-concavity and matroids. Discover how matroids serve as combinatorial structures modeling independence in contexts like graph edges and vector spaces. Learn about the surprising relationship between matroids and multivariate polynomials that exhibit log-concavity in the positive orthant. Explore the real and combinatorial geometry that underlies log-concavity, with applications to matroids and random walk mixing times. Join speaker Josephine Yu from Georgia Institute of Technology for this third installment of the Terng Lecture Course, taking place at 9:30am in Simonyi Hall 101 at the Institute for Advanced Study on May 22, 2025.