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Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

Unitally positive A-infinity algebras and the contraction algebra

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Data: 

23/09/2025 - 14:30

Aula: 

Aula Lagrange

Speaker: 

Emma Lepri

Categoria: 

Seminari di Algebra e Geometria Algebrica

Afferenza: 

University of Glasgow

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.