The nef cone of the Hilbert scheme of points on rational elliptic surfaces and the cone conjecture
Speaker: John Kopper, PSU
Abstract: Hilbert schemes of points are classical spaces that parameterize collections of points on a fixed variety. In this talk I will explain how Hilbert schemes of points on rational elliptic surfaces give high-dimensional examples of "maximally complicated" varieties allowed by the Morrison-Kawamata cone conjecture, a conjecture that bounds how complicated the geometry of curves can be on certain algebraic varieties. More precisely, I will show that the nef cones of such Hilbert schemes are not finitely generated, but do have a fundamental domain for the action of the automorphism group.
Room Reservation Information
Room Number: 106 McAllister
Time: 11:00am - 11:50am