Abstract
Trisections and multisections are a way of decomposing a 4-manifold into simple pieces that are glued together along simple pieces. Such a decomposition yields a way to encode a 4-manifold diagrammatically. When our 4-manifold has a symplectic structure, we would like to encode that diagrammatically as well. I will explain joint work with Gabriel Islambouli which defines a new compatibility between symplectic structures and multisections, and how we can encode such compatible decompositions diagrammatically.
