Lorentzian polynomials

School of Mathematics Colloquium
Thursday, January 9, 2020 - 11:00am for 1 hour (actually 50 minutes)
Skiles 006
June Huh – Princeton University – junehuh@ias.eduhttps://web.math.princeton.edu/~huh/
Matthew Baker

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. Although no specific background beyond linear algebra and multivariable calculus will be needed to enjoy the presentation, I advertise the talk 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 works with Petter Brändén, Christopher Eur, Jacob Matherne, Karola Mészáros, and Avery St. Dizier.