Events for 03/08/2024 from all calendars

Geometry Seminar

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.