Open problems on Lorentzian polynomials

Abstract: Conjecturally, skew-Schur polynomials, Schur P polynomials, Schubert polynomials, homogeneous components of Grothendieck polynomials, key polynomials, and homogenized basis generating functions of morphisms of matroids all become Lorentzian after normalizations. I will present these and some other open problems on Lorentzian polynomials. Joint work with Jacob Matherne, Karola Mészáros, and Avery St. Dizier, and with Chris Eur.

algebraic geometrycombinatorics

Audience: researchers in the topic

Göran Gustafsson Lectures in Mathematics