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Positivity and symplectic embeddings

Geometry Combinatorics Integrable Systems Seminar
September 16, 2021
3:00 pm - 4:00 pm
Zoom

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.

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