Speaker: |
Agnieszka Bodzenta (Edinburgh University) |
Title: |
Categorifying non-commutative deformation theory |
Date (JST): |
Fri, Aug 04, 2017, 15:30 - 17:00 |
Place: |
Seminar Room A |
Abstract: |
I will discuss a categorification of the non-commutative deformation theory of n objects in an abelian category. A suitable abelian category plays the role of the non-commutative base for a deformation in this approach.A motivation coming from a categorical description of flops will be outlined.I will give sufficient conditions for the pro-representability of the deformation functor. I will also construct a pro-representing hull for the deformation functor in general situation and discuss how to recover the functor from the hull. |