April 3, 2025
3:00PM
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4:00PM
EA0160
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2025-04-03 15:00:00
2025-04-03 16:00:00
Colloquium - Jingyi Chen
Jingyi ChenUniversity of British ColumbiaTitleHamiltonian stationary Lagrangian manifoldsAbstractIn this talk, we are concerned with a variational problem in Riemannian and symplectic geometries, namely, critical points of the volume functional of Lagrangian manifolds under Hamiltonian deformations. These objects contain the minimal Lagrangian submanifolds but not limited to these. We give criterion for the Chekanov tori being Hamiltonian stationary (joint with Patrik Coulibaly) and discuss a geometric flow evolving toward the critical points - Hamiltonian stationary Lagrangian manifolds (joint with Micah Warren).
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2025-04-03 15:00:00
2025-04-03 16:00:00
Colloquium - Jingyi Chen
Jingyi ChenUniversity of British ColumbiaTitleHamiltonian stationary Lagrangian manifoldsAbstractIn this talk, we are concerned with a variational problem in Riemannian and symplectic geometries, namely, critical points of the volume functional of Lagrangian manifolds under Hamiltonian deformations. These objects contain the minimal Lagrangian submanifolds but not limited to these. We give criterion for the Chekanov tori being Hamiltonian stationary (joint with Patrik Coulibaly) and discuss a geometric flow evolving toward the critical points - Hamiltonian stationary Lagrangian manifolds (joint with Micah Warren).
EA0160
America/New_York
public
Jingyi Chen
University of British Columbia
Title
Hamiltonian stationary Lagrangian manifolds
Abstract
In this talk, we are concerned with a variational problem in Riemannian and symplectic geometries, namely, critical points of the volume functional of Lagrangian manifolds under Hamiltonian deformations. These objects contain the minimal Lagrangian submanifolds but not limited to these. We give criterion for the Chekanov tori being Hamiltonian stationary (joint with Patrik Coulibaly) and discuss a geometric flow evolving toward the critical points - Hamiltonian stationary Lagrangian manifolds (joint with Micah Warren).
