Mirror symmetry and rigid structures of generalized K3 surfaces | Geometry and Dynamics Seminar

Time：2023-12-13 Wed 13:30-15:30

Venue：A3-1-101 ZOOM: 388 528 9728（PW: BIMSA）

Organizer：Yu-Wei Fan

Speaker：Atsushi Kanazawa Keio University

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).

DATEDecember 13, 2023

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