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Mirror symmetry and rigid structures of generalized K3 surfaces

组织者

范祐维

演讲者

Atsushi Kanazawa

时间

2023年12月13日 13:30 至 15:30

地点

A3-1-101

线上

Zoom 388 528 9728 (BIMSA)

摘要

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).