The nef cone of the Hilbert scheme of points on rational elliptic surfaces and the cone conjecture

Algebra and Number Theory Seminar

Meeting Details

For more information about this meeting, contact Allyson Borger, Kirsten Eisentraeger, Jack Huizenga, Mihran Papikian, Ae Ja Yee, John Lesieutre.

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

Date: 09/05/2019

Time: 11:00am - 11:50am