(A-infinity,2)-categories, and the role of operads in symplectic geometryMPIM

by Nate Bottman (MPIM)

Thursday Apr 24, 2025, 12:45 PM → 1:45 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

Bonn Symplectic Geometry Seminar

I will present a new definition of (A-infinity,2)-categories, which I believe is the "correct" definition in symplectic geometry. The motivation comes from the symplectic category, Symp, which is a structure that encodes symplectic manifolds, their Fukaya categories, and functoriality properties of the latter. Along the way, I will explain the Operadic Principle, which says that when we define a symplectic invariant by counting curves, the algebraic structure of the invariant is inherited from the operad of domains of the curves being counted. I will not assume any familiarity with operads.