שלחו לחבר

Voronoi cells of varieties

Seminar
Speaker
Madeleine Weinstein (University of California, Berkeley)
Date
05/06/2019 - 11:00 - 10:00
Place
Third floor seminar room (room 201, building 216)
Abstract

Every real algebraic variety determines a Voronoi decomposition of its ambient Euclidean space. Each Voronoi cell is a convex semialgebraic set in the normal space of the variety at a point. We compute the algebraic boundaries of these Voronoi cells. Using intersection theory, we give a formula for the degrees of the algebraic boundaries of Voronoi cells of curves and surfaces. We discuss an application to low-rank matrix approximation. This is joint work with Diego Cifuentes, Kristian Ranestad, and Bernd Sturmfels.

תאריך עדכון אחרון : 22/05/2019