The birational geometry of (nested) Hilbert schemes of points on surfaces

Algebra and Number Theory Seminar

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Robert Vaughan, Mihran Papikian, Ae Ja Yee, Kirsten Eisentraeger, Jack Huizenga.

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

Date: 04/04/2019

Time: 11:00am - 11:50am