Recent developments in the theory of Lorentzian polynomials

Lorentzian polynomials link continuous convex analysis and discrete convex analysis via tropical geometry. The tropical connection is used to produce Lorentzian polynomials from discrete convex functions. Specific examples can be constructed from graphs, convex bodies, stable polynomials, irreducible representations of general linear groups, and in particular, projective varieties. In his talks, June Huh will explain the main ideas from the viewpoint of algebraic geometry. He will give an overview of recent developments in the theory of Lorentzian polynomials, starting from his initial work with Petter Brändén, and highlighting some of the recent developments. The intention is to setup a stage for after-lecture discussions with and between participants.