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SUMMARY:Handles and Homotopies - Jake Rasmussen (Cambridge)
DTSTART:20191108T190000Z
DTEND:20191108T200000Z
UID:TALK132286@talks.cam.ac.uk
CONTACT:Valentin Hübner
DESCRIPTION:A k-dimensional manifold is a topological space that locally l
 ooks like R^k^. For example\, the surface of a beach ball is a 2-dimension
 al manifold: if you cut a little piece out of it\, you can flatten it out 
 so it looks like a disk in the 2-dimensional plane. The surface of an inne
 r tube (a torus) has the same property\, so it is also a 2-manifold. These
  two spaces are locally the same (both look like R^2^) but globally differ
 ent. Much of what we know about the topology of manifolds comes from the f
 act that they can be decomposed into simple pieces called handles. I'll di
 scuss these handle decompositions\, where they come from\, and some things
  they can tell us\, both for 2-dimensional surfaces and in higher dimensio
 ns.
LOCATION:MR2\, Centre for Mathematical Sciences
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