The birational geometry of (nested) Hilbert schemes of points on surfaces
Speaker: Tim Ryan, Stony Brook
Abstract: Hilbert schemes of points on surfaces are some of the most classically studied varieties in algebraic geometry and are also important objects in representation theory, combinatorics, and symplectic geometry. In this talk, I will introduce (nested) Hilbert schemes and cover the relevant background material from birational geometry. Then, I will focus on two results: the class of Severi divisors in the Hilbert scheme and the ample cone of the nested Hilbert scheme including an application to syzygies. Time permitting, I will discuss current work computing Chern classes of tautological bundles and positive cones.
Room Reservation Information
Room Number: 106 McAllister
Time: 11:00am - 11:50am