Back to Algebraic Geometry Seminar: Spring 2015
Algebraic Geometry Seminar
Date: Tuesday, Feb 10, 2015
Time: 3:30PM - 4:30PM
Location: LCB 215
Pedro Acosta
University of Michigan
Title |
Extending the Landau-Ginzburg/Calabi-Yau correspondence to non-Calabi-Yau hypersurfaces in weighted projective space |
Abstract |
In the early days of mirror symmetry, physicists noticed a remarkable relation between the Calabi-Yau geometry of a hypersurface in projective space defined by a homogenous polynomial W and the singularity theory of the Landau-Ginzburg model with superpotential W. This relation came to be known as the Landau-Ginzburg/Calabi-Yau correspondence. In this talk, I will explain how this correspondence can be extended to non-Calabi-Yau hypersurfaces in weighted projective space using the recently introduced Fan-Jarvis-Ruan-Witten theory as the mathematical formalism behind Landau-Ginzburg models. |
Algebraic Geometry