Spaces of Lorentzian Polynomials

Explore the topology of Lorentzian polynomials in this advanced mathematics lecture from the Geometry of Matroid Workshop, presented by Mario Kummer from Dresden University of Technology. Delve into the characterization of Lorentzian polynomial spaces with given support through local Dressian analysis, and examine how these spaces can be compactified into closed Euclidean balls with dimensions corresponding to Tutte group ranks. Learn why Brändén's proposed compactification method typically fails to produce a manifold with boundary, drawing from collaborative research with Matt Baker, June Huh, and Oliver Lorscheid.