BIMSA >
Geometry and Dynamics Seminar
Mirror symmetry and rigid structures of generalized K3 surfaces
Mirror symmetry and rigid structures of generalized K3 surfaces
Organizer
Speaker
Atsushi Kanazawa
Time
Wednesday, December 13, 2023 1:30 PM - 3:30 PM
Venue
A3-1-101
Online
Zoom 388 528 9728
(BIMSA)
Abstract
Inspired by the works of Hitchin and Huybrechts, we introduce a formulation of mirror symmetry for generalized K3 surfaces by Mukai lattice polarizations. This formulation is compatible with the SCFT on K3 surfaces discussed by Aspinwall-Morrison, and fixes the problems in the conventional mirror symmetry for lattice polarized K3 surfaces. In particular, we settle the long-standing problem of mirror symmetry for singular K3 surfaces (also known as rigid K3 surfaces).