# 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)

**Abstract.**

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.