Presented By: Learning Seminar in Algebraic Combinatorics - Department of Mathematics
Learning Seminar in Algebraic Combinatorics: The Volume Polynomial of a Matroid is Lorentzian
Sridhar Venkatesh
We will introduce the notion of Lorentzian polynomials and show that the volume polynomial of a loopless matroid is Lorentzian. As a consequence, we will show that the volume polynomial is log-concave in its positive orthant.