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Schedule, Notes/Handouts & Videos

Topics in Combinatorial Representation Theory March 17, 2008 - March 21, 2008

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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 (Massachusetts Institute of Technology)
04:00 PM - 05:00 PM
  Sortable elements -- beyond finite type
David Speyer (University of Michigan)
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 (University of Illinois at Urbana-Champaign)
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