Spring 2019

Formulas for Riesz Kernels

Thursday, May 2, 2019 2:15 pm3:00 pm PDT

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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.