Mathematical Sciences Research Institute - Introductory Workshop on Combinatorial Representation Theory

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.

Follow this link to read about the new U.S. visa requirements

Schedule
Tuesday January 22, 2008
09:00AM - 10:00AM	Arun Ram	Combinatorics of Lie type
10:00AM - 11:00AM	Morning Break
11:00AM - 12:00PM	Michel Broué	Complex reflection groups in representations of finite reductive groups
12:00PM - 02:00PM	Lunch at MSRI
02:00PM - 03:00PM	Andrei Okounkov	Characters of symmetric groups
03:00PM - 04:00PM	Afternoon Tea
04:00PM - 05:00PM	5 Minute Presentations
Wednesday January 23, 2008
09:00AM - 10:00AM	Arun Ram	Combinatorics of Lie type
10:00AM - 11:00AM	Morning Break
11:00AM - 12:00PM	Andrei Okounkov	Characters of symmetric groups
12:00PM - 02:00PM	Lunch at MSRI
02:00PM - 03:00PM	Kevin Purbhoo	The Horn inequalities and their generalizations
03:00PM - 04:00PM	Afternoon Tea
04:00PM - 05:00PM	Syu Kato	Geometric representation theory of affine Hecke algebras
Thursday January 24, 2008
09:00AM - 10:00AM	Michel Broué	Complex reflection groups in representations of finite reductive groups
10:00AM - 11:00AM	Morning Break
11:00AM - 12:00PM	5 Minute Presentations
12:00PM - 02:00PM	Lunch at MSRI
02:00PM - 03:00PM	Andrei Okounkov	Characters of symmetric groups
03:00PM - 04:00PM	Afternoon Tea
04:00PM - 05:00PM	Lauren Williams	Total positivity for flag varieties: combinatorics, topology, and toric geometry
Friday January 25, 2008
09:00AM - 10:00AM	Arun Ram	Combinatorics of Lie type
10:00AM - 11:00AM	Morning Break
11:00AM - 12:00PM	Ghislain Fourier	Finite dimensional modules for current and loop algebras
12:00PM - 02:00PM	Lunch at MSRI
02:00PM - 03:00PM	Sami Assaf	Applications of dual equivalence graphs
03:00PM - 04:00PM	Afternoon Tea
04:00PM - 05:00PM	Michel Broué	Complex reflection groups in representations of finite reflective groups

Currently Available Videos

Arun Ram , Combinatorics of Lie type January 22,2008, 09:00 AM to 10:00 AM
Michel Broué , Complex Reflection Groups in Representations of Finite Reductive Groups January 22,2008, 11:00 AM to 12:00 PM
Andrei Okounkov , Characters of Symmetric Groups January 22,2008, 02:00 PM to 03:00 PM
Arun Ram , Combinatorics of Lie Type January 23,2008, 09:00 AM to 10:00 AM
Andrei Okounkov , Characters of Symmetric Groups January 23,2008, 11:00 AM to 12:00 PM
Kevin Purbhoo , The Horn Inequalities and Their Generalizations January 23,2008, 02:00 PM to 03:00 PM
Syu Kato , Geometric representation theory of affine Hecke algebras January 23,2008, 04:00 PM to 05:00 PM
Michel Broué , Complex Reflection Groups in Representations of Finite Reductive Groups January 24,2008, 09:00 AM to 10:00 AM
Andrei Okounkov , Characters of Symmetric Groups January 24,2008, 02:00 PM to 03:00 PM
Lauren Williams , Total positivity for flag varieties: combinatorics, topology, and toric geometry January 24,2008, 04:00 PM to 05:00 PM
Arun Ram , Combinatorics of Lie Type January 25,2008, 09:00 AM to 10:00 AM
Ghislain Fourier , Finite dimensional modules for current and loop algebras January 25,2008, 11:00 AM to 12:00 PM
Sami Assaf , Applications of dual equivalence graphs January 25,2008, 02:00 PM to 03:00 PM
Michel Broué , Complex Reflection Groups in Representations of Finite Reductive Groups January 25,2008, 04:00 PM to 05:00 PM

You can find videos of other workshops and events on our VMath - Streaming Video page.

For more information:
Questions about this workshop should be sent either by email to

407@msri.org

or by regular mail to:

Introductory Workshop on Combinatorial Representation Theory Mathematical Sciences Research Institute 17 Gauss Way, Berkeley, CA 94720-5070. USA

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Introductory Workshop on Combinatorial Representation Theory

Follow this link to read about the new U.S. visa requirements

Schedule

Tuesday January 22, 2008

Wednesday January 23, 2008

Thursday January 24, 2008

Friday January 25, 2008

Currently Available Videos