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Workshop

Subfactors and Algebraic Aspects of Quantum Field Theory December 04, 2000 - December 08, 2000
Registration Deadline: December 08, 2000 over 18 years ago
To apply for Funding you must register by: September 04, 2000 over 18 years ago
Parent Program:
Organizers D. Bisch, V.F.R. Jones, Y. Kawahigashi, S. Popa, R. Borcherds, S. Doplicher, R. Lawrence, P. Goddard and A. Wassermann
Speaker(s)

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Description
As part of the full-year 2000-2001 program on Operator Algebras, MSRI will host a one-week workshop on Subfactors and Algebraic Aspects of Quantum Field Theory, December 4-8, 2000. These two areas have had a strong interaction in the last two decades, leading to exciting and closely related mathematics. The Subfactor section of the workshop will discuss the latest developments of the theory, covering both the combinatorial and analytical aspects. Probable participants include: M. Asaeda, T. Banica, D. Bisch, D. Evans, F. Goodman, U. Haagerup, M. Izumi, V.F.R. Jones, Y. Kawahigashi, A. Ocneanu, M. Pimsner, S. Popa, N. Sato, V.S. Sunder, Y. Ueda, H. Wenzl The section on Algebraic Aspects of QFT will attempt to cover several topics that have recently been linked with Operator Algebras. These include conformal field theory and vertex algebras, superselection sectors, invariants of links and 3-manifolds, the Hopf algebra structure of renormalization. Probable participants include: [D. Bar-Natan], R. Borcherds, S. Doplicher, [V. Drinfeld], B. Feigin, E. Frenkel, P. Goddard, [V. Kac], D. Kreimer, R. Lawrence, R. Longo, L. Rozansky, A. Tsuchiya, [V. Turaev], A. Wassermann, F. Xu, [D. Zagier]. (names in brackets are not yet confirmed)
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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A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

Additional lodging options (short term housing page - Short Term Housing

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Schedule, Notes/Handouts & Videos
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Dec 04, 2000
Monday
08:00 AM - 05:00 PM
  Universal constructions and functoriality in the theory of subfactors
Sorin Popa (at Evans Hall, Room 60)
08:00 AM - 05:00 PM
  Connes fusion and KZ equations
Valerio Toledano Laredo
08:00 AM - 05:00 PM
  Vertex algebras are trivial
Richard Borcherds (University of California, Berkeley)
08:00 AM - 05:00 PM
  Almost modularity of quantum 3-manifold invariants
Ruth Lawrence
08:00 AM - 05:00 PM
  Hyperbolic Volume and the Jones Polynomial: A Conjecture
Dylan Thurston (Indiana University)
08:00 AM - 05:00 PM
  Combinatorics of quantum field theory
Dirk Kreimer
08:00 AM - 05:00 PM
  An axiomatic approach to conformal field theory
Peter Goddard (Institute for Advanced Study)
08:00 AM - 05:00 PM
  Seiberg-Witten differentials as periods of rational elliptic surfaces
Akihiro Tsuchiya
08:00 AM - 05:00 PM
  Braid groups and subfactors
Hans Wenzl (University of California, San Diego)
08:00 AM - 05:00 PM
  Vertex algebras and the geometric Langlands correspondence
Edward Frenkel (University of California, Berkeley)
09:30 AM - 11:00 AM
  Aspects of duality
Sergio Doplicher (Università di Roma "La Sapienza'')
11:00 AM - 12:00 PM
  Completely Rational Conformal Quantum Field Theory
Roberto Longo
12:00 PM - 02:00 PM
  Completely rational CQFTs, local extensions and modular invariants
Michael Mueger
02:00 PM - 02:30 PM
  Exotic subfactor and the spindle algebra
Marta Asaeda
02:30 PM - 03:00 PM
  Bimodule categories of subfactors and representation theory of quantum groupoids
Dmitri Nikshych (University of New Hampshire)
03:00 PM - 04:00 PM
  Inclusions of von Neumann algebras, and quantum groupoids
Michel Enock
Dec 05, 2000
Tuesday
09:30 AM - 11:00 AM
  Higher Coxeter systems
Adrian Ocneanu
11:00 AM - 12:00 PM
  Quantum subgroups and vertex algebras
Antony Wassermann
12:00 PM - 02:00 PM
  Unitary representations of generalised braid groups and quantum groups
Valerio Toledano Laredo (Northeastern University)
02:00 PM - 03:00 PM
  Anyons in mathematics, computer sceince and physics
Michael Freedman (University of California, San Diego)
03:00 PM - 04:00 PM
  On TQFT representations of mapping class groups
Zhenghan Wang
04:00 PM - 05:00 PM
  TBA
Richard Borcherds (University of California, Berkeley)
Dec 06, 2000
Wednesday
09:30 AM - 11:00 AM
  Finite type invariants and a strange breed of planar algebras
Dror Bar-Natan
11:00 AM - 12:00 PM
  TBA
Ruth Lawrence
12:00 PM - 02:00 PM
  TBA
Dylan Thurston (Indiana University)
02:00 PM - 03:00 PM
  Residues in Quantum Field Theory
Dirk Kreimer
03:00 PM - 04:00 PM
  Exchange relations planar algebras
Zeph Landau
04:00 PM - 05:00 PM
  Algebraic coset conformal field theories
Feng Xu
05:00 PM - 06:00 PM
  Two approaches in 3-dimensional topological quantum field theories from subfactors
Nobuya Sato
Dec 07, 2000
Thursday
09:30 AM - 11:00 AM
  E_6 is a breeze, E_8's a tease
Vaughan Jones (Vanderbilt University)
11:00 AM - 12:00 PM
  Singly generated planar algebras of small dimension
Dietmar Bisch (Vanderbilt University)
12:00 PM - 02:00 PM
  Spectra of principal graphs
V. Sunder
02:00 PM - 03:00 PM
  TBA
Peter Goddard (Institute for Advanced Study)
03:00 PM - 04:00 PM
  Old and new results on spin models
Uffe Haagerup (University of Copenhagen)
04:00 PM - 05:00 PM
  TBA
Akihiro Tsuchiya
05:00 PM - 06:00 PM
  Paragroups and Hopf algebras
Vijay Kodiyalam
Dec 08, 2000
Friday
09:30 AM - 11:00 AM
  Non-commutative Poisson boundaries and compact quantum group actions
Masaki Izumi
11:00 AM - 11:45 AM
  Modular invariants from subfactors
David Evans (Cardiff University)
11:45 AM - 02:00 PM
  Braiding and extension of endomorphisms of subfactors
Yasuyuki Kawahigashi (the University of Tokyo)
02:00 PM - 03:00 PM
  TBA
Hans Wenzl (University of California, San Diego)
03:00 PM - 04:00 PM
  Finite dimensional representations of the braid group of type B and Markov traces
Rosa Orellana (Dartmouth College)
04:00 PM - 04:30 PM
  Minimal actions of compact quantum groups and subfactors
Yoshimichi Ueda
04:30 PM - 05:00 PM
  Some applications of free probability to subfactor theory
Dimitri Shlyakhtenko (University of California, Los Angeles)
05:00 PM - 06:00 PM
  TBA
Edward Frenkel (University of California, Berkeley)