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Workshop

Introductory Workshop on Combinatorial Representation Theory January 22, 2008 - January 25, 2008
Registration Deadline: January 15, 2007 almost 18 years ago
To apply for Funding you must register by: October 22, 2007 about 17 years ago
Parent Program:
Organizers Persi Diaconis, Arun Ram, Anne Schilling (Chair)
Speaker(s)

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Description
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.
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 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, 2008
Tuesday
09:00 AM - 10:00 AM
  Combinatorics of Lie type
Arun Ram (University of Melbourne)
11:00 AM - 12:00 PM
  Complex Reflection Groups in Representations of Finite Reductive Groups
Michel Broué (Institut de Mathematiques de Jussieu)
02:00 PM - 03:00 PM
  Characters of Symmetric Groups
Andrei Okounkov (Columbia University; University of California, Berkeley)
Jan 23, 2008
Wednesday
09:00 AM - 10:00 AM
  Combinatorics of Lie Type
Arun Ram (University of Melbourne)
11:00 AM - 12:00 PM
  Characters of Symmetric Groups
Andrei Okounkov (Columbia University; University of California, Berkeley)
02:00 PM - 03:00 PM
  The Horn Inequalities and Their Generalizations
Kevin Purbhoo
04:00 PM - 05:00 PM
  Geometric representation theory of affine Hecke algebras
Syu Kato (Kyoto University)
Jan 24, 2008
Thursday
09:00 AM - 10:00 AM
  Complex Reflection Groups in Representations of Finite Reductive Groups
Michel Broué (Institut de Mathematiques de Jussieu)
02:00 PM - 03:00 PM
  Characters of Symmetric Groups
Andrei Okounkov (Columbia University; University of California, Berkeley)
04:00 PM - 05:00 PM
  Total positivity for flag varieties: combinatorics, topology, and toric geometry
Lauren Williams (Harvard University)
Jan 25, 2008
Friday
09:00 AM - 10:00 AM
  Combinatorics of Lie Type
Arun Ram (University of Melbourne)
11:00 AM - 12:00 PM
  Finite dimensional modules for current and loop algebras
Ghislain Fourier
02:00 PM - 03:00 PM
  Applications of dual equivalence graphs
Sami Assaf
04:00 PM - 05:00 PM
  Complex Reflection Groups in Representations of Finite Reductive Groups
Michel Broué (Institut de Mathematiques de Jussieu)