Back to Algebraic Geometry Seminar: Fall 2015
Algebraic Geometry Seminar
Date: Tuesday, Oct 27, 2015
Time: 3:30PM - 4:30PM
Location: JFB 102
Mark Shoemaker
University of Utah
Title |
Matrix Factorizations in Gromov-Witten Theory |
Abstract |
Originally introduced by Eisenbud in the context of commutative algebra, matrix factorizations have since earned a prominent role in mathematical physics as the “D-branes of type B” in a Landau—Ginzburg model. In this spirit, Orlov proved that a certain category of matrix factorizations over affine space is equivalent to the derived category of a Calabi—Yau hypersurface. In this talk I will describe preliminary work with Jérémy Guéré using matrix factorizations to give a new description of the virtual class in Gromov-Witten theory, FJRW theory, and so-called hybrid theories. We hope that this construction will help clarify the relationship between the virtual classes in these various theories. |
Algebraic Geometry