DMM Seminar

Speaker: Michael Wemyss (U Edinburgh)
Title: Noncommutative Deformations of curves and spherical twists
Date (JST): Mon, Sep 30, 2013, 14:00 - 17:00
Place: Seminar Room A
Abstract: In the first half of my talk, I will explain the concept of a noncommutative resolution of singularities, giving the motivation and many examples. I will also explain generalizations to noncommutative minimal models, again giving motivation and examples.

In the second half of my talk, I will use this to control noncommutative deformations of curves. I will explain what this means, and will explain how the first half of the talk allows us to calculate deformations very easily. I will then explain why it is strictly necessary to study noncommutative deformations (not just commutative ones), and will sketch the strategy of the proof to show that twisting around the universal sheaf associated to the noncommutative deformation theory gives an intrinsic description of Bridgeland's flop--flop functor.

Parts of this talk are joint with Osamu Iyama, and parts joint with Will Donovan.