Logo

Mathematical Sciences Research Institute

Home » Topics in Combinatorial Representation Theory

Workshop

Topics in Combinatorial Representation Theory March 17, 2008 - March 21, 2008
Registration Deadline: March 07, 2008 over 6 years ago
To apply for Funding you must register by: December 17, 2007 almost 7 years ago
Parent Program: Combinatorial Representation Theory
Organizers Sergey Fomin, Bernard Leclerc, Vic Reiner (Chair), Monica Vazirani
Speaker(s)

Show List of Speakers

Description

Representation theory has often been a key to unlocking problems of enumeration and structure for our favorite combinatorial objects. In the reverse direction, answering many of the central questions of representation theory required development of sophisticated combinatorial techniques and constructions. This interplay, which has only intensified in recent years, will be at the focus of the workshop. Potential topics to be discussed include (the combinatorial aspects of):

  • quiver representations;
  • cluster algebras;
  • Macdonald and LLT polynomials;
  • representation-theoretic techniques in quantum/statistical mechanics;
  • generalized Littlewood-Richardson rules, Schur-positivity, and connections with Schubert calculus;
  • crystal bases and graphs;
  • affine Grassmannians, Mirkovic-Vilonen cycles;
  • dual canonical and semi-canonical bases;
  • Horn and Deligne-Simpson problems;
  • tropical calculus in representation theory.

A relatively small number of talks should leave ample time for informal discussions and presentations. INVITED SPEAKERS: Harm Derksen (Univ. of Michigan- Ann Arbor) Philippe Di Francesco (CNRS- Saclay) Mark Haiman (Univ. of California- Berkeley) Joel Kamnitzer (Univ. of California- Berkeley, American Inst. of Math.) Michael Kapovich (Univ. of California- Davis) Rinat Kedem (Univ. of Illinois- Urbana) Thomas Lam (Harvard Univ.) Cristian Lenart (SUNY- Albany) George Lusztig (MIT) Alexander Postnikov (MIT) Arun Ram (Univ. of Wisconsin- Madison, Univ. of Melbourne) Anne Schilling (Univ. of California- Davis) Jan Schroer (Univ. of Bonn) Mark Shimozono (Virginia Tech) David Speyer (Clay Math Inst., MIT) John Stembridge (Univ. of Michigan- Ann Arbor) Anatoly Vershik (Steklov Institute- St. Petersburg) Andrei Zelevinsky (Northeastern Univ.) 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 = CGMS57. The cut-off date for reservations is March 2, 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: ER0000. The cut-off date for reservations is February 15, 2008.


Funding & Logistics Show All Collapse

Show Funding

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.

Show Lodging

MSRI has preferred rates at the Rose Garden Inn, depending on room availability. 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 the MSRI rate on all room types available.

MSRI has preferred rates 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 123MSRI. Our preferred rate is $139 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 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 “I am an individual traveler affiliated with MSRI”.

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

Show Directions to Venue

Show Visa/Immigration

Schedule
Show All Collapse
Mar 17, 2008
Monday
09:15 AM - 10:30 AM
  Admissible W-graphs
John Stembridge (University of Michigan)
11:00 AM - 12:00 PM
  Hopf algebras, Towers of Algebras and Dual graded graphs
Thomas Lam
02:00 PM - 03:00 PM
  Restrictions of irreducible representations to Levi subgroups and ideal triangles in Euclidean buildings
Michael Kapovich (University of California, Davis)
04:00 PM - 05:00 PM
  Unipotent classes and special Weyl group representations
George Lusztig
Mar 18, 2008
Tuesday
09:30 AM - 10:30 AM
  Combinatorics of Coxeter elements and cluster algebras of finite type
Andrei Zelevinsky
11:00 AM - 12:00 PM
  Dual semicanonical bases and cluster algebras
Jan Schroeer
02:00 PM - 03:00 PM
  Total positivity, matroids, and clusters
Alexander Postnikov
04:00 PM - 05:00 PM
  Sortable elements -- beyond finite type
David Speyer (Massachusetts Institute of Technology)
Mar 19, 2008
Wednesday
09:30 AM - 10:30 AM
  Path models
Arun Ram (University of Melbourne)
11:00 AM - 12:00 PM
  Hall-Littlewood polynomials, alcove walks, and the Macdonald polynomial inv statistic
Cristian-Paul Lenart
Mar 20, 2008
Thursday
09:30 AM - 10:30 AM
  Schubert Polynomials for the affine Grassmannian of the symplectic group
Anne Schilling (University of California, Davis)
11:00 AM - 12:00 PM
  k-Schur functions via multidegrees of Matrix Affine Schubert Varieties
Mark Shimozono
02:00 PM - 03:00 PM
  LLT polynomials
Mark Haiman
Mar 21, 2008
Friday
09:30 AM - 10:30 AM
  The Razumov-Stroganov conjecture: loop gas, alternating sign matrices, plane partitions and orbital varieties
Philippe di Francesco (University of Illinois at Urbana-Champaign)
11:00 AM - 12:00 PM
  Quantum algebra characters and cluster algebras
Rinat Kedem
02:00 PM - 03:00 PM
  Quivers with Potentials
Harm Derksen
04:00 PM - 05:00 PM
  Some Problems of Asymptotic Representation Theory (ART)
Anatoly Vershik