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SUMMARY:Hyperbolic geometry: what it is and where it leads. - Caroline Ser
 ies\, Warwick University
DTSTART:20121021T130000Z
DTEND:20121021T140000Z
UID:TALK41199@talks.cam.ac.uk
CONTACT:Emmy Noether
DESCRIPTION:Hyperbolic (also called non-Euclidean) geometry is like geomet
 ry on a leaf of kale. We shall discuss some of its crucial features: for e
 xample\, walking across the diagonal of an arbitrarily big field is not mu
 ch quicker than going round the edge. Hyperbolic geometry has been used to
  study chaotic dynamics on surfaces\, while in recent years it has revolut
 ionised the study of three dimensional manifolds  (the three dimensional a
 nalogue of surfaces).\n\nAbstracting some special features of hyperbolic g
 eometry led Mikhail Gromov to the simple but profound idea of what is now 
 called a Gromov hyperbolic space. This has in turn fed back into hyperboli
 c geometry itself\, being a crucial ingredient of some recent major advanc
 es which have given us a more or less complete picture of the geometry of 
 all hyperbolic 3-manifolds.
LOCATION:MR5\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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