Evento
Descrizione:
Abstract: By the work of Donovan and Wemyss, the functor of noncommutative deformations of a flopping irreducible rational curve C in a threefold X is representable by an algebra called the contraction algebra. This talk is based on a joint work with J. Karmazyn and M. Wemyss, where we construct a DG-algebra from the data of periodic projective resolution of the simple module on the contraction algebra, and prove that it reconstructs the A-infinity algebra $Ext^*_X(\mathcal{O}_C(-1), \mathcal{O}_C(-1))$, giving an alternative proof of the Donovan-Wemyss conjecture.