Hyperbolic polynomial and its application to locally PSD matrices

Series
Student Algebraic Geometry Seminar
Time
Friday, September 4, 2020 - 9:00am for 1 hour (actually 50 minutes)
Location
Microsoft Teams Meeting
Speaker
Shengding Sun – Georgia Tech – ssun313@gatech.edu
Organizer
Cvetelina Hill

Please Note: https://teams.microsoft.com/l/meetup-join/19%3a3a9d7f9d1fca4f5b991b4029b09c69a1%40thread.tacv2/1598721101106?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%223eebc7e2-37e7-4146-9038-a57e56c92d31%22%7d

The definition of hyperbolic polynomials stems from stable polynomials, with many interesting properties related to convex geometry and optimization, including the construction of hyperbolicity cone. We will discuss some of these results and mention the application to locally PSD matrices.