Top-level heading

Ext algebras from the contraction algebra

Categoria
Altro (categoria non censita)
Categoria non censita
Convegno GAP XIX: Moduli spaces and higher structures
Data e ora inizio evento
Data e ora fine evento
Aula
Altro (Aula esterna al Dipartimento)
Sede

Dipartimento di Chimica, Edificio Caglioti

Aula esterna
Aula I
Speaker
Emma Lepri
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 in progress with Joseph Karmazyn and Michael 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∞-algebra ExtX*(OC(-1), OC(-1)). We also discuss relations of this DG-algebra with Booth's derived contraction algebra, and the Donovan-Wemyss conjecture.
Contatti/Organizzatori
domenico.fiorenza@mat.uniroma1.it