Home /  Free Probability and Non-commutative Banach Spaces


Free Probability and Non-commutative Banach Spaces January 22, 2001 - January 27, 2001
Registration Deadline: January 27, 2001 over 23 years ago
To apply for Funding you must register by: October 22, 2000 over 23 years ago
Parent Program:
Organizers P. Biane, D. Shlyakhtenko, R. Speicher, D. Voiculescu, E. Effros, E. Kirchberg, V. Paulsen, G. Pisier, Z-J. Ruan and A. Sinclair

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As part of the full-year 2000-2001 program on Operator Algebras, MSRI will host a one-week workshop on Free Probability and Non-Commutative Banach Spaces, January 22-26, 2001. The Free Probability section of the workshop will cover several aspects of the subject: applications to von Neumann algebras and C*-algebras of free product type, connections with random matrix theory, free stochastic processes and free stochastic integration, combinatorial approach via noncrossing partitions, free entropy. Probable participants in the Free Probability section include: G. Ben Arous, H. Bercovici, P. Biane, M. Bozejko, M. Anshelevich, T. Cabanal - Duvillard, K. Dykema, L. Ge, D. Gaboriau, A. Guionnet, U. Haagerup, K. Johannsen, A. Nica, F. Radulescu, D. Shlyakhtenko, R. Simion, R. Speicher, M. Stefan, S. Thorbjoernsen, D.Voiculescu, P.Zinn - Justin. The Non-commutative Banach Space section will cover the central concepts of the recently developed theory of operator spaces such as: exactness, local reflexivity and injectivity with applications to C* tensor products, operator algebras and operator modules. The non-commutative Lp-spaces, which play an important role in this theory, provide many points of contact with free probability. Probable participants in the Noncommutative Banach Spaces section include: W. Arveson, D. Blecher, E.G. Effros, U. Haagerup, M. Junge, E. Kirchberg, C. Le Merdy, J. Kraus, B. Magajna, N. Ozawa, T. Oikhberg, V. Paulsen, G. Pisier, C. Pop, N. Randrianantoanina, H.P. Rosenthal, Z.-J. Ruan, A. Sinclair, R. Smith, C. Webster
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 PhDs, 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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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Jan 22, 2001
08:00 AM - 05:00 PM
  Completely contractive projections on non-commutative L^1 spaces
P.W. Ng
08:00 AM - 05:00 PM
  Variations on injectivity
V. Paulsen
08:00 AM - 05:00 PM
  C* Spaces
E. Kirchberg
08:00 AM - 05:00 PM
  On finite representability of operator spaces
T. Oikhberg
09:30 AM - 10:50 AM
  Applications of free entropy
Liming Ge
10:50 AM - 11:50 AM
  Large deviations for Gaussian matrices and free entropies
Thierry Cabanal-Duvillard
11:50 AM - 02:00 PM
  Some properties of free group subfactors
Marius Stefan
02:00 PM - 03:00 PM
  Non-commutative Lp spaces and their connections with operator algebras
Zhang-Jin Ruan
02:00 PM - 03:00 PM
  Approximation properties for crossed products
Roger Smith
Jan 23, 2001
09:30 AM - 10:00 AM
  Multipliers of H1 and power bounded operators
G. Pisier
10:00 AM - 11:00 AM
  The length of a Gamma factor
Erik Christensen
11:00 AM - 12:00 PM
  Curvature and Dirac operator of a commuting d-tuple
William Arveson (University of California, Berkeley)
12:00 PM - 02:00 PM
  Subspaces of non-commutative Lorentz-spaces
Narcisse Randrianantoanina
02:00 PM - 04:20 PM
  Free probability analogue of the Wasserstein distance on trace state space
Dan Virgil Voiculescu (University of California, Berkeley)
02:00 PM - 04:20 PM
  The enumeration of planar maps, links and knots
P. Zinn-Justin
04:20 PM - 05:20 PM
  R-cyclic families of matrices in free probability
Alexandru Nica
Jan 24, 2001
09:30 AM - 10:50 AM
  Free cummulants, matrix orbits and characters of symmetric groups
Philippe Biane (École Normale Supérieure)
10:50 AM - 11:50 AM
  A characterization of freeness by a factorization of operator-valued cummulants
Roland Speicher
11:50 AM - 02:00 PM
  Ito formula for free Levy processes
Michael Anshelevich
02:00 PM - 04:00 PM
Timur Oikhberg
02:00 PM - 04:00 PM
  On the local theory of noncommutative Lp spaces
Marius Junge
04:00 PM - 04:30 PM
  Approximation of hyperfinite martingales by finite dimensional martingales
Magdalena Musat (University of Copenhagen)
04:30 PM - 05:00 PM
  Semi-Transitive Operator Algebras
H. Rosenthal
05:00 PM - 05:30 PM
  Singular masas in factors from hyperbolic groups
Alistair Sinclair (University of California, Berkeley)
05:30 PM - 06:30 PM
  Normal modules and maps
Bojan Magajna
Jan 25, 2001
09:30 AM - 11:00 AM
Eberhard Kirchberg (Humboldt-Universität)
11:00 AM - 12:00 PM
  Multiplier operator algebras and M-structure
David Blecher
12:00 PM - 01:30 PM
  An operator Hilbert space without the operator approximation property
Alvaro Arias
01:30 PM - 02:00 PM
  $$\ell^2$$-invariants for groups and equivalence relations
Damien Gaboriau
02:00 PM - 03:50 PM
  Convex sets of moments in von Neumann algebras
Florin Radulescu
03:50 PM - 04:30 PM
  Strong and weak limit theorems for free random variables
Hari Bercovici
04:30 PM - 05:30 PM
  Self decomposability and Levy processes
S. Thorbjoernsen
Jan 26, 2001
09:30 AM - 10:50 AM
  On free Araki-Woods factors
Dimitri Shlyakhtenko (University of California, Los Angeles)
10:50 AM - 11:50 AM
  Decomposability of Voiculescu's circular operator
Kenneth Dykema
11:50 AM - 02:00 PM
  Invariant subspaces of R-diagonal operators
Piotr Sniady
02:00 PM - 03:15 PM
Vern Paulsen (University of Waterloo)
03:15 PM - 03:50 PM
Ping Ng
03:50 PM - 04:10 PM
  H1 has no completely unconditional basis
E. Ricard
Jan 27, 2001
09:30 AM - 10:35 AM
  Operator space properties of decomposable operators
Christian Le Merdy
10:35 AM - 11:40 AM
  On the lifting problem for separable C*-algebras
Narutaka Ozawa
11:40 AM - 02:00 PM
  One-sided M Structure in operator spaces
Vrej Zarikian
02:00 PM - 04:00 PM
  From lacunary sets on groups to free and boolean probability with applications to operator spaces
Marek Bozejko
02:00 PM - 04:00 PM
  Monotonic independence for noncommutative random variables
Naofumi Muraki (Iwate Prefectural University)
04:00 PM - 05:00 PM
  Cummulants, lattice paths and orthogonal polynomials
Franz Lehner