Positivity and symplectic embeddings

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

Date Range
Add to Calendar 2021-09-16 15:00:00 2021-09-16 16:00:00 Positivity and symplectic embeddings 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. Zoom Department of Mathematics math@osu.edu America/New_York public
Description

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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