Lorentzian polynomials

고등과학원 특강입니다.

TIME: 10:00-10:50 May 20 (Thu), 2021
PLACE: Online
SPEAKER: Huh, June(Stanford University)
TITLE: Lorentzian polynomials

ABSTRACT: 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. The talk will be accessible to undergraduate students in mathematics: The audience will need no specific background beyond linear algebra and multivariable calculus to enjoy the presentation. In addition, I advertise the talk and the corresponding paper to people with interests in at least one of the following topics: graphs, convex bodies, stable polynomials, projective varieties, Potts model partition functions, tropicalizations, Schur polynomials, highest weight representations. Based on joint work with Petter Branden.