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Open problems on Lorentzian polynomials

Date: 2022-05-31

Time: 09:45 - 10:45

Speaker

June Huh

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.