Derived equivalence between vector bundles and dg-quivers

6 February 2014
Lam Yan
Quivers are directed graphs which can be thought of as "space" in noncommutative geometry. In this talk, we will try to establish a link between noncommutative geometry and its commutative counterpart. We will show how one can construct (differential graded) quivers which are "equivalent" (in the sense of derived category of representations) to vector bundles on smooth varieties.
  • Junior Geometry and Topology Seminar