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SUMMARY:The $L^2$ geometry of vortex moduli spaces - Speight\, M (Leeds)
DTSTART:20110224T153000Z
DTEND:20110224T163000Z
UID:TALK29999@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Let L be a hermitian line bundle over a Riemann surface X. A v
 ortex 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 e
 quations. The moduli space of vortices is topologically rather simple. The
  interesting point is that it has a canonical kaehler structure\, geodesic
 s of which are conjectured to approximate the low energy dynamics of vorti
 ces. 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 hyperboli
 c plane.\n
LOCATION:Seminar Room 1\, Newton Institute
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