Multiple Mirrors and Derived Categories
Speaker:
David Favero, University of Alberta
Date and Time:
Thursday, March 15, 2018 - 2:00pm to 3:00pm
Location:
Fields Institute, Room 230
Abstract:
Mirror symmetry predicts that for a given Calabi-Yau manifold X, there is a "mirror" manifold Y such that the symplectic behavior of X is dual to the algebraic behavior of Y. Deforming the algebraic structure on X can lead to multiple mirror varieties Y. As an example, I will discuss a mirror construction due to Berglund-Hubsch-Krawitz. As it turns out, the different mirror varieties in the BHK construction can be considered "physically" equal. Namely, the derived categories of the two mirrors, which encode the physical properties of these algebraic varieties, are equivalent. This talk is based on joint work with T. Kelly.