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UID:8664@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20251009T110000
DTEND;TZID=Europe/Paris:20251009T120000
DTSTAMP:20250930T120950Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-231/
SUMMARY:Thomas Schick (Math. Institut\, Göttingen): The course Baum-Connes
  conjecture and new counterexamples using warped cones
DESCRIPTION:Thomas Schick: "Coarse" geometry studies unbounded metric space
 s "from far away"\, ignoring all the fine local structure.\nThis paradigm 
 is very successfull and underlies e.g. most of geometric group theory.\n\n
 A "warped cone" is a non-compact metric space built out of the action of a
  discrete group on a compact manifold.\nIts coarse geometry encodes many d
 ynamical properties of the action. It is also an important tool to constru
 ct interesting coarse structures.\n\nA powerful tool in coarse geometry ar
 e associated operator algebras and their K-theory. These are the home for 
 coarse index invariants\, which in turn give restrictions on the geometry.
 \n\nThe coarse Baum-Connes conjecture predicts a way to compute these impo
 rtant K-theory groups by topological methods. First counterexamples to the
  conjecture have been constructed by Higson and in follow-up work\, all ba
 sed on a single idea.\n\nIn joint work with Kitsios and Vigolo\, xe produc
 e a new type of counterexample\, given by certain warped cones\, which wor
 ks in a very unexpected way.\n\nIn the talk\, we gently introduce the subj
 ect and its main players as described in the abstract\, cumulating in how 
 the counterexamples work and how they work unexpectedly.
CATEGORIES:Séminaire,Géométrie et Topologie de Marseille
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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DTSTART:20250330T030000
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