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SUMMARY:Revisiting the $K$-theory of $CP^n$ from a (singular) foliation vi
ewpoint
DTSTART;VALUE=DATE-TIME:20171109T080000Z
DTEND;VALUE=DATE-TIME:20171109T085000Z
DTSTAMP;VALUE=DATE-TIME:20200602T060358Z
UID:indico-contribution-1274@indico.math.cnrs.fr
DESCRIPTION:Speakers: Iakovos Androulidakis ()\nThis is report on work in
progress with Nigel Higson. We are exploring an\nidea which comes from a v
ery simple observation: The Bruhat cells of\nvarious flag manifolds are ex
actly the orbits of the action by a nilpotent\nmatrix group. So one might
try to use the apparatus developed for singular\nfoliations in order to ad
dress representation theory problems. Making a\nstart with this\, we look
at the case of $CP^n$ and the action by\ntriangular matrices. It turns out
that the nilpotency of this group allows\nus to shed some geometric light
in the well-known K-theory group of\n$CP^n$\, using index theory and tech
niques developed with Georges Skandalis\nto split singularities. Using the
se techniques we also construct\ninteresting $K$-theory elements.\n\nhttps
://indico.math.cnrs.fr/event/2298/contributions/1274/
LOCATION:Saint Flour HÃ´tel des Planchettes
URL:https://indico.math.cnrs.fr/event/2298/contributions/1274/
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