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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The $L^2$ geometry of vortex moduli spaces

## The $L^2$ geometry of vortex moduli spacesAdd to your list(s) Download to your calendar using vCal - Speight, M (Leeds)
- Thursday 24 February 2011, 15:30-16:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Moduli Spaces Let L be a hermitian line bundle over a Riemann surface X. A vortex is a pair consisting of a section of and a connexion on L satisfying a certain pair of coupled differential equations similar to the Hitchin equations. The moduli space of vortices is topologically rather simple. The interesting point is that it has a canonical kaehler structure, geodesics of which are conjectured to approximate the low energy dynamics of vortices. In this talk I will review what is known about this kaehler geometry, focussing mainly on the cases where X is the plane, sphere or hyperbolic plane. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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