Derived Categories of Sheaves on Smooth Projective Varieties in S2.37

25 February 2015
11:00
to
12:30
Jack Kelly
Abstract

In this talk we will introduce the (bounded) derived category of coherent sheaves on a smooth projective variety X, and explain how the geometry of X endows this category with a very rigid structure. In particular we will give an overview of a theorem of Orlov which states that any sufficiently ‘nice’ functor between such categories must be Fourier-Mukai.