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Petter Bränden:Lorentzian polynomials on cones

Time: Wed 2022-10-19 10.15 - 11.15

Location: 3721

Participating: Petter Bränden (KTH)

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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).