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Title:
Embedding Obstructions for Non-Toric Rational Surfaces from Newton-Okounkov Bodies

Speaker:
Ben Wormleighton

Abstract:
ECH capacities have found many applications to symplectic embedding problems, most of which in the toric setting. I will discuss a new application of ECH to studying optimal embeddings for non-toric rational surfaces. The key convex geometric objects in our story are Newton-Okounkov bodies, which supply embeddings by work of Kaveh and also compute ECH capacities by joint recent work with Julian Chaidez.

Link:
https://www.ias.edu/video/embedding-obstructions-non-toric-rational-surfaces-newton-okounkov-bodies