Geometry of vortex moduli spaces
Event details
| Date | 22.11.2012 |
| Hour | 15:15 › 17:00 |
| Speaker | Nuno M Romano, Hausdorff Institute Bonn |
| Location | |
| Category | Conferences - Seminars |
The vortex equations unify a number of familiar constructions in
gauge theory and symplectic geometry -- for example, on a Riemannian
surface they provide a description of stable solutions in the
Ginzburg-Landau model of superconductivity, and extend the concept
of pseudoholomorphic maps in Gromov-Witten theory to an equivariant
setting. In the first part of my talk, I will review the general
setup for the equations and describe their moduli spaces in a few
special examples. In the second part, I will focus on the natural
L^2-metrics on the moduli spaces of vortices, and explain some
techniques that have been useful in understanding them.
gauge theory and symplectic geometry -- for example, on a Riemannian
surface they provide a description of stable solutions in the
Ginzburg-Landau model of superconductivity, and extend the concept
of pseudoholomorphic maps in Gromov-Witten theory to an equivariant
setting. In the first part of my talk, I will review the general
setup for the equations and describe their moduli spaces in a few
special examples. In the second part, I will focus on the natural
L^2-metrics on the moduli spaces of vortices, and explain some
techniques that have been useful in understanding them.
Practical information
- Informed public
- Free
Organizer
- Tamas Hausel