Title: Sharp ellipsoid embeddings and almost-toric mutations
Speaker: Renato Vianna
Speaker Info: Universidade Federal do Rio de Janeiro
Brief Description: Virtual (Zoom) Talk
Special Note:
Abstract:
Meeting ID: 997 6959 0131Date: Thursday, March 11, 2021Meeting Password: First word of the name of the seminar (in small letters)
Abstract: We will show how to construct volume filling ellipsoid embeddings in some 4-dimensional toric domain using mutation of almost toric compactification of those. In particular we recover the results of McDuff-Schlenk for the ball, Fenkel-Müller for product of symplectic disks and Cristofaro-Gardiner for E(2,3), giving a more explicit geometric perspective for these results. To be able to represent certain divisors, we develop the idea of symplectic tropical curves in almost toric fibrations, inspired by Mikhalkin's work for tropical curves. This is joint work with Roger Casals.
Obs: The same result appears in "On infinite staircases in toric symplectic four-manifolds", by Cristofaro-Gardiner -- Holm -- Mandini -- Pires. Both papers were posted simultaneously on arXiv.