Generalized Borcea–Voisin mirror duality in any dimension
Speaker:
Alessandro Chiodo, Université Pierre et Marie Curie
Date and Time:
Thursday, June 23, 2016 - 9:30am to 10:30am
Abstract:
The ordinary Borcea--Voisin duality pairs two mirror K3 surfaces with anti-symplectic involutions and produces two mirror three-folds via a product with a fixed elliptic curve and quotient by the natural diagonal involution on the two sides. We extend Borcea--Voisin mirror duality beyond dimension three. This uses the Landau--Ginzburg model and aspects of the Landau--Ginzburg/Calabi--Yau correspondence which allow improvements to ordinary mirror symmetry theorems. This is work in collaboration with Elana Kalashnikov and Davide Cesare Veniani.