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SUMMARY:6. Lp-cohomology - Pierre Pansu (Université Paris Saclay)
DTSTART:20170315T140000Z
DTEND:20170315T160000Z
UID:TALK71450@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span><u>Lp</u><span>-<u>cohomology</u> is a quantitative vers
 ion of <u>cohomology</u> of topological </span></span><span>spaces\, well 
 suited for a geometric study of <u>noncompact</u> spaces and </span>groups
 . It has been used with partial success in connection with problems in hig
 h-dimensional topology (Singer&#39\;s conjecture on the Euler <span>charac
 teristic of <u>aspherical</u> manifolds)\, low-dimensional topology </span
 ><span>(Cannon&#39\;s conjecture on groups whose boundary is a 2-sphere)\,
  <u>Riemannian</u> </span>geometry (optimal curvature pinching) and coarse
  geometry (hyperbolic <span>locally compact groups\, coarse <u>embeddings<
 /u> between <u>nilpotent</u> or </span>hyperbolic groups). The course will
  provide background on these problems and be as self-contained as possible
 .<br>  <span>Duration: 9 lectures.<br> <br> Contents:<br> 1. What Lp-cohom
 ology has been good for<br> 2. L\\infty cohomology and (K&auml\;hler) hype
 rbolic groups<br> 3. Lp dimension and the ideal boundary of hyperbolic gro
 ups<br> 4. Quasi-isometry invariance<br> 5. Large scale conformal invarian
 ce<br> 6. Classification of hyperbolic locally compact groups<br> 7. Curva
 ture pinching</span><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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