11 Aug 2022
4:00 pm - 5:00 pm
Thursday, 11 August @ 1600 (AEST) (Melbourne)
Thursday, 11 August @ 1400 (CST) (Beijing)
Thursday, 11 August @ 1130 (IST) (New Delhi)
Thursday, 11 August @ 0800 (GMT+2) (Stockholm)
Thursday, 11 August @ 0700 (BST) (London)
Thursday, 11 August @ 0200 (EDT) (New York)
Wednesday, 10 August @ 2300 (PDT) (Los Angeles)
Presenter: Professor Petter Brändén, KTH
Petter is a professor at the Department of Mathematics at KTH, and a Wallenberg Academy Fellow. Petter’s primary research interests are algebraic combinatorics and positivity questions in various areas of mathematics. His research is supported by grants from the Knut and Alice Wallenberg Foundation and the Göran Gustafsson Foundation.
Topic: Lorentzian polynomials
Abstract: Lorentzian polynomials are a common generalization of determinantal polynomials, Minkowski volume polynomials associated with convex bodies, and volume polynomials associated with projective varieties. The theory of Lorentzian polynomials provides a framework for positivity problems in combinatorics, convex geometry and algebraic geometry. We will give a gentle introduction to this theory and point to applications such as the solution of Mason’s conjecture and the Rota-Heron-Welsh conjecture in Matroid theory. Based on joint work with June Huh and Jonathan Leake.
Structure: 45 minutes seminar with 15 minutes question time
Seminar Recording and Slides:
Please click here for the recording of the seminar