Convexity of quadratic maps and convex hull via aggregation

Series
ACO Student Seminar
Time
Friday, September 30, 2022 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Shengding Sun – Georgia Tech Math – ssun313@gatech.eduhttps://sites.google.com/view/ssdcgaddq
Organizer
Abhishek Dhawan

Quadratic forms and their hidden convexity have been studied for decades, dating back to famous theorems by Toeplitz-Hausdorff, Dines and Brickman. It has very rich connection to optimization via Yakubovich's S-lemma. I will introduce these results, as well as an ongoing work of obtaining convex hull via aggregations, where we introduced the closely related notion of hidden hyperplane convexity.