Differential graded categories and geometry

par Prof. Zhaoting WEI (Indiana University Bloomington & IHÉS)

mardi 11 mars 2014, 15:30 → 16:00 Europe/Paris

Amphithéâtre Léon Motchane (I.H.E.S.)

I will talk about the "cohesive module" introduced by Jonathan Block. Concepturally it is a complex of vector bundles with a superconnection. I will describe the geometric nature of this object. In particular, on complex manifolds, the cohesive module gives a DG enhancement of the bounded derived category of coherent sheaves. Nevertheless, it applies to many other places.