Tuesday, March 05, 15:15

Isaac Bird (Charles University, Prague), Bounding pure homological dimension and Brown-Adams representability.

Abstract:
I will discuss change of categories isomorphisms for pure homological dimensions and demonstrate how this can be used to bound the pure global dimension of a triangulated category. In particular I will show how the pure global dimension of the derived category of any ring is at least the pure global dimension of the ring, generalising results or Keller, Christensen and Neeman. I will then describe some conclusions about when the derived category satisfies Brown-Adams representability.