Formality conjecture and moduli spaces of sheaves on K3 surfaces

par Ziyu Zhang

vendredi 19 oct. 2018, 10:30 → 11:30 Europe/Paris

112 (ICJ)

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.