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学术报告四十一:On the S-duality conjecture of Vafa-Witten II: S-duality conjecture and twisted Vafa-Witten invariants

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时间:2020-07-06 16:36  次

澳门新葡新京学术报告[2020] 041

(高水平大学建设系列报告394)

报告题目: On the S-duality conjecture of Vafa-Witten II: S-duality conjecture and twisted Vafa-Witten invariants

报告人:蒋云峰 教授(堪萨斯大学

报告时间:2020710日上午9:00 

直播平台及链接: 腾讯会议(会议ID:878 231 111) 

报告内容:For a real four manifold,  the S-duality conjecture of Vafa-Witten (1994) predicts that the S-transformation sends the gauge group SU(r)-invariants counting instantons to the Langlands dual gauge group SU(r)/Z_r-invariants; and both of the invariants satisfy modularity properties.  The SU(r)-Vafa-Witten invariants have been constructed by Tanaka-Thomas using the moduli space of semistable Higgs bundle or sheaves on a smooth projective surface. In this talk I will present the idea of using moduli space of  twisted sheaves and twisted Higgs sheaves on a projective surface  to define the  Langlands dual gauge group SU(r)/Z_r-Vafa-Witten invariants.

报告人简历:Prof. Yunfeng Jiang received his Ph.D in mathematics from University of British Columbia (UBC).  Before joining University of Kansas, he worked as a postdoc at University of Utah and Imperial College London.  His main research interests are the general area of  Algebraic Geometry and mathematics physics, especially in the area of Gromov-Witten and Donaldson-Thomas theory, with relations to birational geometry, geometric representation theory, combinatorics and mirror symmetry.


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