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SUMMARY:Raphael Ponge (Sichuan University)
DTSTART:20200715T190000Z
DTEND:20200715T200000Z
DTSTAMP:20260420T053058Z
UID:NYC-NCG/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/12/"
 >Analysis on curved noncommutative tori</a>\nby Raphael Ponge (Sichuan Uni
 versity) as part of Noncommutative geometry in NYC\n\n\nAbstract\nNoncommu
 tative tori are important examples of noncommutative spaces. Following sem
 inal work by Connes-Tretkoff\, Connes-Moscovici\, Fathizadeh-Khalkhali\, a
 nd others a differential geometric apparatus on NC tori is currently being
  built. So far the main focus has been mostly on conformal deformation of 
 the (flat) Euclidean metric or product of such metrics. \n\nThis talk will
  report on ongoing work to deal with general Riemannian metrics on NC tori
  (in the sense of Jonathan Rosenberg). Results include local and microloca
 l Weyl laws\, Gauss-Bonnet theorems  metrics\, and local index formulas.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/12/
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