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Home » Quantization and Non-commutative geometry

Workshop

Quantization and Non-commutative geometry April 23, 2001 - April 27, 2001
Registration Deadline: April 27, 2001 over 18 years ago
To apply for Funding you must register by: January 23, 2001 over 18 years ago
Parent Program:
Organizers A. Connes, J. Cuntz, N. Higson, G.G. Kasparov, N.P. Landsman, H. Moscovici (chair, Non-commutative Geometry), M.A. Rieffel (chair, Quantization), G. Skandalis, A. Weinstein, M. Wodzicki, S.L. Woronowicz
Speaker(s)

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Description
Non-commutative geometry could be regarded as a special case of quantization, and the work of Connes and his collaborators shows that non-commutative geometry represents the deepest example of quantization. Notions from the more general quantization, including the theory of quantum groups, are having an increasingly important effect on the geometric theory. These two topics have been scheduled in a joint workshop because the confluence of their research is likely to influence future advances in both fields. Probable Participants include: A. Ashtekar, T. Banica, A. Connes, M. Crainic, J. Cuntz, M. Douglas, J. Froehlich, J. Gracia-Bondia, N. Higson, A. Jaffe, G. Kasparov, M. Kontsevich, D. Kreimer, V. Lafforgue, N. Landsman, J. Lott, T. Masuda, H. Moscovici, T. Natsume, R. Neszt, V. Nistor, J. Packer, B. Ramazan, J. Renault, M. Rieffel, J. Roe, J. Rosenberg, M. Schlichenmaier, K. Schmuedgen, A. Schwarz, G. Skandalis, B. Tsygan, J. Tu, H. Upmeier, A. Van Daele, A. Weinstein, M. Wodziki, S. Woronowicz, G. Yu
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

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Schedule, Notes/Handouts & Videos
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Apr 23, 2001
Monday
08:00 AM - 05:00 PM
  Automorphic forms and K-theory
Guennadi Kasparov (Vanderbilt University)
08:00 AM - 05:00 PM
  Semiclassical asymptotics and quantum Hall conductivity
Mikhail Shubin
09:30 AM - 10:40 AM
  TBA
09:30 AM - 10:20 AM
  TBA
Guennadi Kasparov (Vanderbilt University)
10:40 AM - 10:40 AM
  Quantization, Geometry and Black Holes
Abhay Ashtekar
10:40 AM - 10:40 AM
  Vestigia vestiganda
Mariusz Wodzicki (University of California, Berkeley)
10:40 AM - 10:40 AM
  Anomalies, the Noncommutative Index Theorem and the S-matrix
José Gracia-Bondia
10:40 AM - 10:40 AM
  Boundaries and approximation properties for group C*-algebras
Jerry Kaminker
Apr 24, 2001
Tuesday
09:30 AM - 10:40 AM
  Z/k index theory via noncommutative geometry
Jonathan Rosenberg
10:40 AM - 11:40 AM
  Quantization as a functor
K. Landsman
11:40 AM - 02:00 PM
  The Baum-Connes conjecture for hyperbolic groups
Guaoliang Yu
02:00 PM - 03:00 PM
  Local index theory over étale groupoids
John Lott (University of California, Berkeley)
03:00 PM - 04:00 PM
  Groupoids and C*-algebraic quantization
Birant Ramazan
04:00 PM - 04:40 PM
  Asymptotic expansion of the Berezin transform
Martin Schlichenmaier
04:40 PM - 05:40 PM
  Commutator representations of covariant differential calculi on quantum
Konrad Schmüdgen
Apr 25, 2001
Wednesday
09:30 AM - 10:40 AM
  Residues of quantum field theory
Dirk Kreimer
10:40 AM - 11:20 AM
  Dirac structures and their quantization
Alan Weinstein (University of California, Berkeley)
11:20 AM - 02:00 PM
  Noncommutative geometry and quantum field theory
Alain Connes (Collège de France)
02:00 PM - 03:00 PM
  Semi Classical asymphotic and Hale conductivity
Michael Shubin
03:00 PM - 04:00 PM
  Toeplitz and Weyl quantization of symmetric domains
Harald Upmeier
04:00 PM - 04:40 PM
  On a continuous deformation of the 2-sphere
Toshikazu Natsume
04:40 PM - 05:40 PM
  Semiclassical geometry of quantum line bundles and Morita equivalence of star products
Henrique Bursztyn
Apr 26, 2001
Thursday
09:30 AM - 10:40 AM
  Banach KK-theory and the Baum-Connes conjecture
Vincent Lafforgue
10:40 AM - 11:40 AM
  Index theorem for general deformations and applications
Boris Tsygan
11:40 AM - 02:00 PM
  Groupoids: examples and remarks
Georges Skandalis (Université de Paris VII (Denis Diderot))
02:00 PM - 03:00 PM
  Noncommutative instantons:
Albert Schwarz
03:00 PM - 04:00 PM
  Deformation and quantization for toric manifolds
Frederic Cadet
04:00 PM - 04:40 PM
  The Baum-Connes conjecture with coefficients for Sp(n,1)
Pierre Julg
04:40 PM - 05:40 PM
  Integrability of Lie bracket
Marius Crainic
Apr 27, 2001
Friday
09:30 AM - 10:40 AM
  Locally compact quantum groups
Alfons van Daele
10:40 AM - 11:20 AM
  Compact quantum groups and subfactors
Teodor Banica
11:20 AM - 12:00 PM
  Categories of Hilbert modules and small scale structure in the representation theory of groups
Jonathan Block (University of Pennsylvania)
12:00 PM - 02:00 PM
  Quantum Symmetry of Noncommunitative Spheres
Joseph Varilly
02:00 PM - 03:00 PM
  Connes-Kasparov conjecture is true
Ryszard Nest
03:00 PM - 04:00 PM
  Wavelet filter functions and K-theory
Judy Packer (University of Colorado)
04:00 PM - 05:00 PM
  Equivariant-bivariant Chern character
Paul Baum (Pennsylvania State University)