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Mirror of Orbifold Singularities in the Hitchin Fibrations

2024-05-25 10:11:28
报告人 时间 16:00
地点 E4-201 2024
月日 05-27

Time:16:00-18:00, Monday, May 27 2024

Venue:E4-201, Yungu Campus


Host: Chuanhao Wei, ITS

Speaker:Cheng Shu, Zhejiang University

Title:Mirror of Orbifold Singularities in the Hitchin Fibrations

Abstract:It is expected that for SYZ mirror partners (X,Y), if a fibre in X is reducible, then Y contains orbifold singularities in the corresponding fibre. For the SYZ partners consisting of Hitchin fibrations associated to a pair of Langlands dual groups, Frenkel and Witten formulated a precise conjecture relating the irreducible components in X and the isotropy groups of orbifold singularities in Y. In a joint work with Yongbin Ruan, we confirm this conjecture for the dual groups SLn and PGLn.