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SUMMARY:Quantised differential calculus and Hilbert transform - Paul Meuni
 er\, ENS Lyon
DTSTART:20211126T160000Z
DTEND:20211126T170000Z
UID:TALK165787@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:In his journey into the noncommutative world of operators on t
 he separable Hilbert space\, Alain Connes encountered a new differential c
 alculus\, generalising the classical (commutative) case on manifolds. I wi
 ll present the definition of quantised differential calculus\, and give an
  example on the real line R. Surprisingly\, there is a canonical choice of
  such a calculus which corresponds to a very classical tool\, the Hilbert 
 transform\, a well-known operator in signal processing and real analysis.
LOCATION:MR11
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