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09-14研究生教育创新计划GAP研讨班系列讲座之140【Ziyu Zhang】

Title:Formality conjecture and moduli spaces of sheaves on K3 surfaces 
Speaker:Ziyu Zhang  (Leibniz University Hannover)
Time:2018年9月14日(周五)   下午 16:00-17:30
Room:东区管理科研楼   数学科学学院1418室

Abstract:The formality conjecture for K3 surfaces, formulated by D.Kaledin and M.Lehn, states that on a complex projective K3 surface, the differential graded algebra RHom(F,F) is formal for any coherent sheaf F polystable with respect to an ample line bundle. In this talk, I will explain how to combine techniques from twistor spaces, dg categories and Fourier-Mukai transforms to prove this conjecture, and how to generalize it to derived objects. Based on joint work with Nero Budur. 
  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会