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SUMMARY:Elmar Schrohe (University of Hannover)
DTSTART:20200909T121500Z
DTEND:20200909T140000Z
DTSTAMP:20260422T225840Z
UID:NCG-CPH/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NCG-CPH/1/">
 The local index formula of Connes and Moscovici and equivariant zeta funct
 ions for the affine metaplectic group.</a>\nby Elmar Schrohe (University o
 f Hannover) as part of NCG Learning Seminar Copenhagen\n\n\nAbstract\nWe c
 onsider the algebra $A$ of bounded operators on $L^2(\\mathbb{R}^n)$ gener
 ated by quantizations of isometric affine canonical transformations.\nThis
  algebra includes as subalgebras the noncommutative tori and toric orbifol
 ds.\nWe introduce the spectral triple $(A\, H\, D)$  with $H=L^2(\\mathbb 
 R^n\, \\Lambda(\\mathbb R^n))$ and the Euler operator $D$\, a first order 
 differential operator of index $1$.\nWe show that this spectral triple has
  simple dimension spectrum: For every operator $B$ in the algebra $\\Psi(A
 \,H\,D)$ generated by the Shubin type pseudodifferential operators and the
  elements of $A$\, the zeta function $\\zeta_B(z) = Tr (B|D|^{-2z})$ has a
  meromorphic extension to $\\mathbb C$ with at most simple poles and decay
 s rapidly along vertical lines.\nOur main result then is an explicit algeb
 raic expression for the Connes-Moscovici cyclic cocycle.\nAs a corollary w
 e obtain local index formulae for noncommutative tori and toric orbifolds.
 \n\n(Joint work with Anton Savin\, RUDN\, Moscow)\n
LOCATION:https://researchseminars.org/talk/NCG-CPH/1/
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BEGIN:VEVENT
SUMMARY:Jens Kaad (SDU Odense)
DTSTART:20200916T121500Z
DTEND:20200916T140000Z
DTSTAMP:20260422T225840Z
UID:NCG-CPH/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NCG-CPH/2/">
 Exterior products of compact quantum metric spaces.</a>\nby Jens Kaad (SDU
  Odense) as part of NCG Learning Seminar Copenhagen\n\n\nAbstract\nThe the
 ory of compact quantum metric spaces was initiated by Rieffel in the late 
 nineties. Important inspiration came from the fundamental observation of C
 onnes saying that the metric on a compact spin manifold can be recovered f
 rom the Dirac operator. A compact quantum metric space is an operator syst
 em (e.g. a unital C*-algebra) equipped with a seminorm which metrizes the 
 weak-*-topology on the state space via the associated Monge-Kantorovich me
 tric. In this talk we study tensor products of compact quantum metric spac
 es with specific focus on seminorms arising from the exterior product of s
 pectral triples. On our way we obtain a novel characterization of compact 
 quantum metric spaces using finite dimensional approximations and we apply
  this characterization to propose a completely bounded version of the theo
 ry.\n
LOCATION:https://researchseminars.org/talk/NCG-CPH/2/
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BEGIN:VEVENT
SUMMARY:Juan Orendain (UNAM Mexico)
DTSTART:20200902T121500Z
DTEND:20200902T140000Z
DTSTAMP:20260422T225840Z
UID:NCG-CPH/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NCG-CPH/3/">
 Double categories of factors.</a>\nby Juan Orendain (UNAM Mexico) as part 
 of NCG Learning Seminar Copenhagen\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NCG-CPH/3/
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