Symmetrically Hyperbolic Polynomials

Series
Algebra Student Seminar
Time
Friday, February 24, 2023 - 10:30am for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Kevin Shu – Georgia Institute of Technology – kshu8@gatech.edu
Organizer
Kevin Shu

We'll begin with a primer on hyperbolic and stable polynomials, which have been popular in recent years due to their many surprising appearances in combinatorics and algebra. We will cover a sketch of the famous Branden Borcea characterization of univariate stability preservers in the first part of the talk. We will then discuss more our recent work on multivariate hyperbolic polynomials which are invariant under permutations of their variables and connections to this Branden Borcea characterization.

 

Zoom Link: https://gatech.zoom.us/j/99596774152