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Introductory Workshop on Combinatorial Representation Theory
Jan 22, 2008 to Jan 25, 2008

Organizer(s)

Persi Diaconis, Arun Ram, Anne Schilling (Chair)
To apply for funding, you must register by Mon, Nov 26 2007.
The soul of Combinatorial Representation Theory (CRT) lies in the interplay between combinatorics and various branches of mathematics. Combinatorial methods are applied to solve problems in representation theory, Lie theory, geometry, and mathematical physics and, in symbiosis, deep combinatorial problems also arise from these areas.

The goal of the Introductory Workshop is to survey current and recent developments in the field. The talks will focus on tableaux, reflection groups, finite groups, geometry and mathematical physics in the realm of Combinatorial Representation Theory.

Three Mini Courses will be given during the week. The tentative titles are:

Michel Broue, "Complex reflection groups in representations of finite reflective groups"
Andrei Okounkov, "Characters of symmetric groups"
Arun Ram, "Combinatorics of Lie type"

In addition, the postdoctoral fellows of the program will give us an introduction to their research area:

Sami Assaf, "Applications of dual equivalence graphs"
Ghislain Fourier, "Finite dimensional modules for current and loop algebras"
Syu Kato, "Geometric representation theory of affine Hecke algebras"
Kevin Purbhoo, "The Horn inequalities and their generalizations"
Lauren Williams, tba

There will also be opportunities for other members of the program to very briefly introduce themselves mathematically!

Accommodations:

A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The following Group Code should be entered in the "Comment" field when booking through our Website. Group Code = CGMS55 .
The cut-off date for reservations is January 6, 2008.

A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: EP0000. The cut-off date for reservations is December 21, 2007.

Funding

To apply for funding, you must register by Mon, Nov 26 2007. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Schedule
Tuesday, January 22, 2008
9:00AM - 10:00AM Arun Ram Combinatorics of Lie type [Video available]
11:00AM - 12:00PM Michel Broué Complex Reflection Groups in Representations of Finite Reductive Groups [Video available]
2:00PM - 3:00PM Andrei Okounkov Characters of Symmetric Groups [Video available]
Wednesday, January 23, 2008
9:00AM - 10:00AM Arun Ram Combinatorics of Lie Type [Video available]
11:00AM - 12:00PM Andrei Okounkov Characters of Symmetric Groups [Video available]
2:00PM - 3:00PM Kevin Purbhoo The Horn Inequalities and Their Generalizations [Video available]
4:00PM - 5:00PM Syu Kato Geometric representation theory of affine Hecke algebras [Video available]
Thursday, January 24, 2008
9:00AM - 10:00AM Michel Broué Complex Reflection Groups in Representations of Finite Reductive Groups [Video available]
2:00PM - 3:00PM Andrei Okounkov Characters of Symmetric Groups [Video available]
4:00PM - 5:00PM Lauren Williams Total positivity for flag varieties: combinatorics, topology, and toric geometry [Video available]
Friday, January 25, 2008
9:00AM - 10:00AM Arun Ram Combinatorics of Lie Type [Video available]
11:00AM - 12:00PM Ghislain Fourier Finite dimensional modules for current and loop algebras [Video available]
2:00PM - 3:00PM Sami Assaf Applications of dual equivalence graphs [Video available]
4:00PM - 5:00PM Michel Broué Complex Reflection Groups in Representations of Finite Reductive Groups [Video available]


Questions about this workshop should be sent either by email to
or by regular mail to:
Introductory Workshop on Combinatorial Representation Theory
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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