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.