Khazhgali Kozhasov (Max Planck Institute for Mathematics in the Sciences)
An Inverse power of a hyperbolic polynomial admits a representation as the Laplace transform of a distribution, called the Riesz kernel. In my talk I will present formulas for Riesz kernels for two classes of hyperbolic polynomials: products of linear forms and elementary symmetric polynomials. I will also discuss applications of our results to algebraic combinatorics and algebraic statistics.
This is a joint work with Mateusz Michalek and Bernd Sturmfels.