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Workshop

Introductory Workshop: Random Matrix Models and their Applications January 19, 1999 - January 23, 1999
Registration Deadline: January 23, 1999 over 20 years ago
To apply for Funding you must register by: October 19, 1998 over 20 years ago
Parent Program:
Organizers E. Basor (Chair), P. Bleher, A. Its, and C. Tracy
Description
The introductory workshop plays a pivotal role in the program, whose main goal is to create a common understanding of the various problems and new ideas which have recently arisen in the theory of random matrices. This workshop is not intended for the specialist, although many experts will be there to participate and interact with others interested in learning about this material, but rather for the mathematician in any field who would like to know more about these exciting areas and their applications in other parts of mathematics. The workshop will be a mini-version of the entire semester and is intended to give overview of the whole program. To that end, several short series of lectures (one series = two or three one hour lectures) given by the experts in the various aspects of the program and addressed to a broad audience will be organized. The topics of the lectures will be chosen to exhibit the relation of random matrix models to completely integrable systems; the Riemann-Hilbert and Virasoro algebra approaches; the related developments in topological field theories, exactly solvable statistical mechanics models, and representation theory of quantum affine algebras; relations to number theory and to quantum chaos. There will be four lectures each day supplemented by informal discussions and ad hoc seminars. Lecturers will include: R. Baxter, E. Brézin, P. Deift, B. Dubrovin, M. Jimbo, M. Mehta, P. van Möerbeke, P. Sarnak, C. Tracy, H. Widom, and X. Zhou.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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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 does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

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).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
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Jan 19, 1999
Tuesday
08:00 AM - 05:00 PM
  Random Matrices I
Madan Lal Mehta
08:00 AM - 05:00 PM
  Random Matrix Models
Peter Sarnak
08:00 AM - 05:00 PM
  Random Matrices and Random Surfaces 1
Eduoard Brezin
08:00 AM - 05:00 PM
  Kernels of Integral Operators and Eigenvalue Distribution in Random Matrix Ensembles I
Harold Widom
08:00 AM - 05:00 PM
  Random Matrices 2
Madan Lal Mehta
08:00 AM - 05:00 PM
  Random Matrices and Random Surfaces 2
Eduoard Brezin
08:00 AM - 05:00 PM
  0's of Zeta Functions and Random Matrices
Peter Sarnak
08:00 AM - 05:00 PM
  Reimann Hilbert Problems
Xin Zhou
08:00 AM - 05:00 PM
  Integral Operators
Percy Deift
08:00 AM - 05:00 PM
  Universalities in Random Matrices
Eduoard Brezin
08:00 AM - 05:00 PM
  Kernels of Integral Operators and Eigenvalue Distribution in Random Matrix Ensembles II
Harlod Widom
08:00 AM - 05:00 PM
  Integral Systems and Random Matrices 1
Pierre van Moerbeke
08:00 AM - 05:00 PM
  Frobenius Manifolds, Isomonodromy Deformations, and Integrable Hierarchies 1
Boris Dubrovin
08:00 AM - 05:00 PM
  Steepest Descent Method
Xin Zhou
08:00 AM - 05:00 PM
  Orthogonal Polynomial and Random Matrix Theory
Percy Deift
08:00 AM - 05:00 PM
  Integral Systems and Random Matrices 2
Pierre van Moerbeke
08:00 AM - 05:00 PM
  Matrix Enssembles with General B, 1
Peter Forrester
08:00 AM - 05:00 PM
  Random Matrices 3
Madan Lal Mehta
08:00 AM - 05:00 PM
  Matrix Enssembles with General B, 2
Peter Forrester
08:00 AM - 05:00 PM
  Distribution Functions for Linear Statistics
Estelle Basor
08:00 AM - 05:00 PM
  Integral Systems and Random Matrices 3
Pierre van Moerbeke
08:00 AM - 05:00 PM
  Frobenius Manifolds, Isomonodromy Deformations, and Integrable Hierarchies 2
Boris Dubrovin