MS Seminar (Mathematics - String Theory)

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.