Extremal Lagrangian Tori in Toric Domains - Shah Faisal
Автор: Institute for Advanced Study
Загружено: 2025-11-14
Просмотров: 244
IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar
9:15am|Remote Access
Topic: Extremal Lagrangian Tori in Toric Domains
Speaker: Shah Faisal
Affiliation: IRMA, Strasbourg
Date: November 14, 2025
The symplectic area of a Lagrangian submanifold L in a symplectic manifold is defined as the minimal positive symplectic area of a smooth 2-disk with boundary on L. A Lagrangian torus is called extremal if it maximizes the symplectic area among all Lagrangian tori. I will explain that every extremal Lagrangian torus in the standard symplectic unit ball is entirely contained in the boundary of the ball. This result confirms a conjecture of Cieliebak and Mohnke in the affirmative. (Ref: arXiv:2504.13076)
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