Back to Algebraic Geometry Seminar: Fall 2014
Algebraic Geometry Seminar
Date: Tuesday, Nov 25, 2014
Time: 3:30PM - 4:30PM
Location: LCB 225
Drew Johnson
University of Utah
Title |
Strange Duality for Del Pezzo Surfaces |
Abstract |
Strange duality is a conjectural perfect pairing between sections of determinant (or theta) line bundles on moduli spaces of sheaves. Marian and Oprea resolved this conjecture in the affirmative for curves by constructing a finite Quot scheme whose points gave a basis for the image of the strange duality map. We attempt to use this strategy on surfaces, the most accessible case being del Pezzo surfaces. Some of the Quot schemes we construct will be Quot schemes in a tilted category. I will discuss some interesting computations and partial results that support our conjecture. |
Algebraic Geometry