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