Intersections of quadrics and Hamiltonian-minimal Lagrangian submanifolds
Event details
| Date | 06.11.2013 |
| Hour | 17:15 › 18:00 |
| Speaker | Taras Panov (Moscow State University) |
| Location | |
| Category | Conferences - Seminars |
Hamiltonian Dynamics Seminar
Abstract: Hamiltonian minimality (H-minimality) for Lagrangian submanifolds is a symplectic analogue of minimality in Riemannian geometry. A Lagrangian immersion is called H-minimal if the variations of its volume along all Hamiltonian vector fields are zero.
We study the topology of H-minimal Lagrangian submanifolds N in C^m constructed from intersections of real quadrics in the work of Mironov. This construction is linked via an embedding criterion to the well-known Delzant construction of Hamiltonian toric manifolds.
By applying the methods of toric topology we produce new examples of H-minimal Lagrangian submanifolds with quite complicated topology. The interpretation of our construction in terms of symplectic reduction leads to its generalisation providing new examples of H-minimal submanifolds in toric varieties.
The talk is based on a joint work with Andrey Mironov.
Abstract: Hamiltonian minimality (H-minimality) for Lagrangian submanifolds is a symplectic analogue of minimality in Riemannian geometry. A Lagrangian immersion is called H-minimal if the variations of its volume along all Hamiltonian vector fields are zero.
We study the topology of H-minimal Lagrangian submanifolds N in C^m constructed from intersections of real quadrics in the work of Mironov. This construction is linked via an embedding criterion to the well-known Delzant construction of Hamiltonian toric manifolds.
By applying the methods of toric topology we produce new examples of H-minimal Lagrangian submanifolds with quite complicated topology. The interpretation of our construction in terms of symplectic reduction leads to its generalisation providing new examples of H-minimal submanifolds in toric varieties.
The talk is based on a joint work with Andrey Mironov.
Practical information
- Expert
- Free
Organizer
- Martins Bruveris and Sonja Hohloch