Geometry Seminar
Date: March 8, 2024
Time: 4:00PM - 5:00PM
Location: BLOC 302
Speaker: T. Mandziuk, TAMU
Title: Border varieties of sums of powers
Abstract: The variety of sums of r powers (VSP(F,r)) of a homogeneous degree d polynomial F is the closure in the Hilbert scheme of the set of all those r-tuples of points of the d-th Veronese variety that contain F in their linear span. As a main ingredient in their border apolarity theory, Buczyńska and Buczyński introduced the notion of a border variety of sums of powers. During the talk I will compare VSP(F,r) (and a similarly defined subset of the Hilbert scheme) with the border variety of sums of powers. The talk is based on a joint work with Emanuele Ventura.