Title: Positivity and symplectic embeddings
Speaker: Ben Wormleighton (Washington University in St. Louis)
Speaker's URL https://sites.google.com/view/benw/
Abstract: Connections between positivity of divisors in algebraic geometry and embedding problems in symplectic geometry have a 30 year history, bringing together significant aspects of each field (e.g. Nagata conjecture, toric degenerations, ball packings,…). I will describe positivity invariants for weakly polarised surfaces that capture valuable and, in some cases, complete information about symplectic embeddings into them. I will discuss how this theory interacts with Zariski decomposition and volume of divisors, and outline the current state of the higher dimensional picture.
