Algebraic Geometry Seminar: Zheng Hua (UBC)

I will present a joint work with Behrend. For any smooth projective variety, we construct a differential graded scheme (stack) structure on the moduli space of complexes of coherent sheaves. The construction uses the Hochschild cochain complex of A infinty bi-modules. As an application, we show that the DT/PT wall crossing can be intepreted as change of stability conditions on dg schemes.