BIRS Workshop Lecture Videos
DG enhancements of derived categories of sheaves Anno, Rina
This talk is based on a joint work with T. Logvinenko, and gives some background for his talk on "P-functors". One of the major problems of working with triangulated categories is that the cone of a map between functors is not well defined, and in constructions such as that of P-twists, we need not just a cone, but a convolution of a three-term complex. In this talk, we will discuss Bondal and Kapranov's pretriangulated categories, where such convolutions exist naturally. We are also going to introduce the construction of a twisted line bundle over a DG category, a version of which is going to be instrumental in the definition of P-functors.
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