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.