Skip to main content
To KTH's start page To KTH's start page

Anna Sopena Gilboy: Pluripotential Operadic Calculus

Time: Thu 2024-05-16 13.15 - 14.15

Location: Cramer room, Albano

Participating: Anna Sopena Gilboy (Universitat de Barcelona)

Export to calendar


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.