Date | 2023-05-02 |
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Speaker | 노경민 |

Dept. | 서울대학교 |

Room | 129-101 |

Time | 16:40-17:10 |

Homological mirror symmetry (HMS) is a research program proposed by Kontsevich in 1994 ICM. It provides an unexpected connection between symplectic geometry (A-side) and algebraic geometry (B-side), and has also recently been found to be related to representation theory.

In this talk, we focus on the mirror symmetry "Degenerate cusp singularities (B-side) <-> Riemann surfaces (A-side)" and their representations. First we review the representation theory of Cohen-Macaulay modules over degenerate cusps, and introduce degenerate vector bundles to give its geometric meaning (B-side). Then we explain how they correspond to holonomy of geodesics in the mirror Riemann surface (A-side) under HMS.

This talk is based on a joint work with Cheol-Hyun Cho, Wonbo Jeong and Kyoungmo Kim.

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