Back to Algebraic Geometry Seminar: Spring 2012
Algebraic Geometry Seminar
Date: Tuesday, Apr 24, 2012
Time: 3:30PM - 4:30PM
Location: LCB 222
David Steinberg
University of British Columbia
Title |
Tilted pairs and the Donaldson-Thomas crepant resoultion conjecture |
Abstract |
Donaldson-Thomas theory provides a virtual count of curves on a smooth Calabi-Yau threefold X. When X is singular, Donaldson-Thomas theory is not defined. However, when X is the coarse moduli space of an orbifold, there are two candidates for producing virtual counts related to X: virtual counts on the orbifold itself, and virtual counts on a crepant resolution of X. The Donaldson-Thomas crepant resolution conjecture states that these two approaches are equivalent. In this talk, I will present progress in proving this conjecture by introducing the intermediate counting theory of tilted pairs. |
Algebraic Geometry