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"Lecture 1: Lorentzian polynomials"

Date:	Download-files:	Time:
Monday, 30 May 2022	Video-Recording for any system with MP4-support - Video.mp4 (ca. 488 Mb)	10:00 – 11:20

The Göran Gustafsson Lectures in Mathematics 2022

June Huh

(Princeton University)

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 a general audience: No specific background beyond linear algebra

and multivariable calculus are required for most of the presentation.

In addition, I advertise the talk to people with interests in at least one of the

following topics: graphs, convex bodies, stable polynomials, projective varieties,

partition functions, tropicalizations, Schur polynomials,

highest weight representations.

Based on joint work with Petter Brändén.

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