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SUMMARY:Ricardo Campos (CNRS/University of Montpellier)
DTSTART:20210319T150000Z
DTEND:20210319T160000Z
DTSTAMP:20260423T010747Z
UID:GPL/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPL/11/">Con
 figuration spaces of points and their homotopy type</a>\nby Ricardo Campos
  (CNRS/University of Montpellier) as part of Geometry and Physics @ Lisbon
 \n\n\nAbstract\nGiven a topological space X\, one can study the configurat
 ion space of n points on it: the subspace of X^n in which two points canno
 t share the same position. Despite their apparent simplicity such configur
 ation spaces are remarkably complicated\; the homology of these spaces is 
 reasonably unknown\, let alone their homotopy type. This classical problem
  in algebraic topology has much impact in more modern mathematics\, namely
  in understanding how manifolds can embed in other manifolds\, such as in 
 knot theory. In this talk I will give a gentle introduction to this topic 
 and explain how using ideas going back to Kontsevich we can obtain algebra
 ic models for the rational homotopy type of configuration spaces of points
 .\n
LOCATION:https://researchseminars.org/talk/GPL/11/
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