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BEGIN:VEVENT
DTSTAMP:20191023T111027Z
DTSTART:20191024T133000Z
DTEND:20191024T143000Z
SUMMARY:James Montaldi - The 2-body problem on surfaces of constant curva
ture
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}yo8-k1294il
a-kav8ac
DESCRIPTION:James Montaldi joins us for the Geometry\, Topology and Mathe
maticals Physics Seminar. \n\nAbstract:\n\nBy reducing to the centre of
mass frame\, the 2-body problem in the plane reduces to the Kepler probl
em (1 body in a central force). On a curved surface\, there is no useful
centre of mass frame\, and the 2-body problem does not reduce to such a
simpler system. In this talk I will describe the process of reduction o
ne can do\, and the relative equilibria of this system of 2 bodies on su
rfaces of constant curvature. I will also describe how the relative equi
libria for positive curvature and for negative curvature fit into a fami
ly through zero curvature (spherical/planar/hyperbolic geometries).\n\nT
his is joint work with A. Borisov\, I. Mamaev\, and in particular Luis
GarcĂa-Naranjo.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams Room 1\, Alan Turing Building\, Manchester
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