Algebraic Geometry Seminar
Jack Huizenga
UIC
Higher rank interpolation problems and Bridgeland stability
Abstract: A fundamental problem in algebraic geometry is to determine when a zero-dimensional subscheme of a variety imposes independent conditions on sections of a line bundle. More generally, one can consider when a scheme imposes independent conditions on sections of a vector bundle. Studying such questions amounts to studying the birational geometry of Hilbert schemes of points, or base loci of theta divisors on moduli spaces of sheaves. We will discuss how Bridgeland stability gives a natural way of decomposing the ideal sheaf of a zero-scheme which helps solve the higher rank interpolation problem.
Wednesday May 1, 2013 at 4:00 PM in SEO 427