# From Fukaya categories to Gromov-Witten invariants

## Location

Zoom

Monday, May 18, 2020 4:00 PM

Lino Amorim (Kansas State University)

I will describe an analogue of Saito's theory of primitive forms for Calabi-Yau A-infinity categories. Under some conditions on the Hochschild cohomology of the category, this construction recovers the (genus zero) Gromov-Witten invariants of a symplectic manifold from its Fukaya category. This includes many Fano toric manifolds, in particular projective spaces.