Mathematical Physics Seminar
Monday 09.XI.2009
Time: 16:00-17:00
Room: 0089
Instytut Matematyki, ul. Łojasiewicza 6, 30-348 Kraków
Martin Speight
(University of Leeds, UK)
Wave-map flow and the geometry of the space of holomorphic maps
Abstract:
Wave maps are the analogue of harmonic maps in the case where the domain is
Lorentzian rather than Riemannian. Physically, they model the continuum limit
of isotropic antiferromagnets. In this talk we will consider wave maps in (2+1)
dimensions, concentrating on the case where physical space is a compact Riemann
surface R. We will show how the low energy dynamics of this system can be
reduced to geodesic motion on the moduli space of holomorphic maps from R to
CP1, and present various results on the geometry of this moduli space.
Reference:
M. Haskins, J.M. Speight: "The geodesic approximation for lump dynamics and
coercivity of the Hessian for harmonic maps",
arXiv:hep-th/0301148
(Please note that the room for the seminar will be 0089 from this week
on.)
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