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SUMMARY:Warped cones and the coarse Baum-Connes conjecture - Federico Vigo
 lo (Georg-August-Universität Göttingen)
DTSTART:20251009T143000Z
DTEND:20251009T153000Z
UID:TALK236266@talks.cam.ac.uk
DESCRIPTION:The coarse Baum&ndash\;Connes conjecture is a foundational sta
 tement connecting coarse K-homology with K-theory of Roe algebras. It has 
 long been known to be false for certain spaces constructed as infinite dis
 joint unions of expander-like objects. The goal of this talk is to present
  recent joint work with Kitsios and Schick\, in which we prove a conjectur
 e of Roe by showing that even fairly tame Riemannian manifolds (specifical
 ly\, certain warped cones) violate the coarse Baum&ndash\;Connes conjectur
 e. In both cases the failure of Baum-Connes relies on some spectral gap ty
 pe properties of the underlying metric spaces.
LOCATION:Seminar Room 1\, Newton Institute
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