Date: Sat, 18 Sep 2004 20:32:00 -0500 (CDT) From: John Hall To: Dan Drake Cc: Muge Taskin Subject: SCS topics Dan, Sorry about the mix-up on Friday. Muge and I thought we were going to decide on the best topics at the meeting. Anyway, I've listed below the additional topics we culled from the FPSAC papers. All references can be found at http://fpsac.labri.fr/FPSAC04/papers.pdf If you would rather not speak this week I wouldn't mind doing Matroids. - John 1. Ribbon Tableaux (this can be merged with Domino Tableaux) references: * Billera, Decomposable Compositions and Ribbon Schur Functions * Lam, Pieri and Cauchy Formulae for Ribbon Tableaux 2. Crystals references: * Henriques and Kamnitzer, The Octahedron Recurrence and gl_n Crystals * Magyar, Littelmann Paths for Affine Lie Algebras * Schilling, Virtual Crystals and the X = M Conjecture * Shimozono and Zabrocki, Deformed Universal Characters for Classical and Affine Algebras and the X = M = K Conjecture * Sternberg, Finite Dimensional Crystals of Type D_n 3. Coxeter groups and related orders (e.g., Bruhat, Tamari) * Reading, Cambrian Lattices * Thomas, Tamari Lattices and Nin-crossing Partitions in Types B and D 4. Matroids reference: * Ardilla and Klivans, The Bergman Complex of a Matroid and Phylogenetic Trees * Hsiao, A Signed Analog of thr Birkhoff Transform * Martin, Tutte meets Poincare * Proudfoot, The Equivariant Orlik-Solomon Algebra 5. Littlewood-Richardson coefficients (recent developments) references: * Bergeron, Biagioli, Rosas, On a Conjecture Concerning L-R Coefficients * Lam, Pieri and Cauchy Formulae for Ribbon Tableaux * Rassart, A Polynomiality Property for L-R Coefficients 6. Hall-Littlewood Symmetric Functions * Hamel and King, Generalised Schur P-Functions and Weyl's Denominator Formula * Lapointe and Morse, q,t-Kostka Polynomials and the Affine Symmetric Group * Magyar, Littelmann Paths for Affine Lie Algebras * Shimozono and Zabrocki, Deformed Universal Characters for Classical and Affine Algebras and the X = M = K Conjecture