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SUMMARY:2. Lp-cohomology - Pierre Pansu (Université Paris Saclay)
DTSTART:20170125T140000Z
DTEND:20170125T160000Z
UID:TALK70391@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Lp-cohomology is a quantitative version of cohomology of topol
 ogical spaces\, well suited for a geometric study of noncompact spaces and
  groups. It has been used with partial success in connection with problems
  in high-dimensional topology (Singer&#39\;s conjecture on the Euler chara
 cteristic of aspherical manifolds)\, low-dimensional topology (Cannon&#39\
 ;s conjecture on groups whose boundary is a 2-sphere)\, Riemannian geometr
 y (optimal curvature pinching) and coarse geometry (hyperbolic locally com
 pact groups\, coarse embeddings between nilpotent or hyperbolic groups). T
 he course will provide background on these problems and be as self-contain
 ed as possible.<br><br>  <span>Duration: 9 lectures.<br> <br> Contents:<br
 > 1. What Lp-cohomology has been good for<br> 2. L\\infty cohomology and (
 K&auml\;hler) hyperbolic groups<br> 3. Lp dimension and the ideal boundary
  of hyperbolic groups<br> 4. Quasi-isometry invariance<br> 5. Large scale 
 conformal invariance<br> 6. Classification of hyperbolic locally compact g
 roups<br> 7. Curvature pinching</span><br>
LOCATION:Seminar Room 2\, Newton Institute
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