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CATEGORIES:The Emmy Noether Society: Women that Count
SUMMARY:Hyperbolic geometry: what it is and where it leads
. - Caroline Series\, Warwick University
DTSTART;TZID=Europe/London:20121021T140000
DTEND;TZID=Europe/London:20121021T150000
UID:TALK41199AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/41199
DESCRIPTION:Hyperbolic (also called non-Euclidean) geometry is
like geometry on a leaf of kale. We shall discuss
some of its crucial features: for example\, walki
ng across the diagonal of an arbitrarily big field
is not much quicker than going round the edge. Hy
perbolic geometry has been used to study chaotic d
ynamics on surfaces\, while in recent years it has
revolutionised the study of three dimensional man
ifolds (the three dimensional analogue of surface
s).\n\nAbstracting some special features of hyperb
olic geometry led Mikhail Gromov to the simple but
profound idea of what is now called a Gromov hype
rbolic space. This has in turn fed back into hyper
bolic geometry itself\, being a crucial ingredient
of some recent major advances which have given us
a more or less complete picture of the geometry o
f all hyperbolic 3-manifolds.
LOCATION:MR5\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
CONTACT:Emmy Noether
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