Nima Anari,
Petter Branden,
Jacob Matherne,
and Cynthia Vinzant
Original Announcement
This workshop will focus on the geometry of polynomials. One aim of this field is to study negative dependence properties of discrete probability distributions via analytic and functional properties of their multivariate generating polynomials. This brings together research in analysis, combinatorics, optimization, and computer science. Two special classes have proved to be exceptionally useful in this regard, namely stable polynomials and Lorentzian polynomials. This conference aims to bring together researchers in a broad range of fields to discuss structural questions about these spaces of polynomials and their applications in combinatorics and theoretical computer science.
The main topics for the workshop are
Negative correlation and real rooted-ness in matroids
Generalizations of Lorentzian polynomials
Applications to approximate counting and approximate sampling
