# Petter Bränden:Lorentzian polynomials on cones

**Time: **
Wed 2022-10-19 10.15 - 11.15

**Location: **
3721

**Participating: **
Petter Bränden (KTH)

Abstract: Motivated by Hodge theory and volume polynomials, we introduce Lorentzian polynomials on cones. Using these we give a short and self-contained proof of the Heron-Rota-Welsh conjecture for the characteristic polynomial of a geometric lattice, first proved by Adiprasito, Huh and Katz. This is joint work with Jonathan Leake (Waterloo).