Speaker: Bin Wang (王彬, Chinese University of Hong Kong)
Time & Date: 10:00-11:00 a.m., April 11, Friday
Location: Room 1510
Abstract: In this talk, we will talk about mirror symmetry for parabolic Sp/SO Hitchin Systems. We will first talk about parabolic SL Hitchin systems as an example to show that singularities of generic spectral curves are determined by the Kazhdan-Lusztig map, construct a lifting of Jacobson-Morozov sl_2 triples to the loop group and rational sections of the Hitchin map. We will then talk about the relation of Lusztig’s canonical quotient group with the failure of the mirror symmetry for residually nilpotent Sp/SO Hitchin systems and the mirror symmetry for parabolic Sp/SO Hitchin systems. This is based on joint works with Xiaoyu Su, Xueqing Wen and Yaoxiong Wen.
About the speaker: Bin Wang is currently a postdoc at the Chinese University of Hong Kong under the supervision of Prof. Michael McBreen. He is interested in geometric representation theory and enumerative geometry. His current research is in the geometry of the moduli of Higgs bundles/sheaves on curves and surfaces.
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