Série de Courts Exposés

Differential graded categories and geometry

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

Amphithéâtre Léon Motchane (I.H.E.S.)

Amphithéâtre Léon Motchane


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
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.