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DTSTAMP:20251024T113506Z
DESCRIPTION:Cyclic homology\, group actions and conformal invariants\n\nIn 
 the first part of the talk\, I will present some joint work with Hang Wang
  (U. Adelaide). We use noncommutative geometry to obtain a local index for
 mula in conformal geometry that takes into account the action of an arbitr
 ary group of conformal diffeomorphisms. This leads us to a construction of
  a whole new family of conformal invariants. The computation of these inva
 riants uses the explicit computation of the cyclic homology of crossed-pro
 duct algebras via explicit quasi-isomorphisms that I constructed recently.
  This computation will be the topic of the 2nd (and most important) part o
 f the talk. This part involves a large amount of algebraic and differentia
 l topology. The results are expressed in terms of suitable versions of equ
 ivariant (co)homology in the sense of Borel and Bott. As a consequence thi
 s allows us to compute the conformal invariants of the 1st part in terms o
 f equivariant characteristic classes.\n
DTSTART:20180209T160000Z
DTEND:20180209T170000Z
LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy
SUMMARY:Raphaël Ponge\, Seoul National University
URL:/mathstat/channels/event/raphael-ponge-seoul-natio
 nal-university-284401
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