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SUMMARY:Elizabethan vortices - Maciej Dunajski (DAMTP)
DTSTART:20221018T150000Z
DTEND:20221018T160000Z
UID:TALK183866@talks.cam.ac.uk
CONTACT:Professor Maciej Dunajski
DESCRIPTION:Abelian vortices are solitons in two space dimensions\, with f
 inite core size.\n\nI will explain how  radial solutions to the sinh–Gor
 don equation and the elliptic Tzitzeica equation can be\ninterpreted as ab
 elian vortices on certain surfaces of revolution. These surfaces have a co
 nical excess angle at infinity (in a way which makes them similar to Eliza
 bethan ruff collars\, or certain\ngreen algae). They can not be embedded i
 n the Euclidean 3-space but can be globally embedded\nin the hyperbolic sp
 ace. I will show pictures of these embeddings\, and discuss their existenc
 e which follows\nfrom the asymptotic analysis of a Painleve III ODE.
LOCATION:MR11
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