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Anna Sopena Gilboy: Pluripotential Operadic Calculus

Tid: To 2024-05-16 kl 13.15 - 14.15

Plats: Cramer room, Albano

Medverkande: Anna Sopena Gilboy (Universitat de Barcelona)

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For complex manifolds, there exists a refined notion of weak equivalence related to both Dolbeault and anti-Dolbeault cohomology. This class of weak equivalences naturally defines a stronger formality notion. In particular, satisfying the \(\partial \overline{\partial}\)-Lemma property does not imply formality in this new sense. The goal of this talk is to introduce a novel operadic framework designed to understand this homotopical situation. Namely, I will present pluripotential \(A_\infty\) algebras as well as a homotopy transfer theorem based on this strong notion of weak equivalence.