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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Geometric function theory and vortex motion: the r
ole of connections - Björn Gustafsson (KTH - Royal
Institute of Technology )
DTSTART;TZID=Europe/London:20190912T100000
DTEND;TZID=Europe/London:20190912T110000
UID:TALK129451AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/129451
DESCRIPTION:We discuss point vortex dynamics on a closed two-d
imensional Riemann manifolds from the point of vie
w of affine and other connections. The speed of a
vortex then comes out as the difference between t
wo affine connections\, one derived from the coord
inate Robin function and the other being the Levi-
Civita connection associated to the Riemannian met
ric. \;

In a \; Hamiltonian for
mulation of the vortex dynamics\, the Hamiltonian
function consists of two main terms. One of them i
s a quadratic form based on a matrix whose entries
are Green and Robin functions\, while the other d
escribes the energy contribution from those circul
ating flows besides those which are implicit in th
e Green functions. These two terms are not indepe
ndent of each other\, and one major issue is tryin
g to understand the exchange of energy between the
m.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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