数学与统计学院学术报告[2020] 041号

(高水平大学建设系列报告394号)

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：2020年7月10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.

欢迎感兴趣的师生参加！

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