Conference Proceedings

The complete conference proceedings are available as of June 3, 2006.

Contributed Talks

Schur positivity and Schur log-concavity
Thomas Lam, Alexander Postnikov and Pavlo Pylyavskyy
[Slides From Presentation by Pavlo Pylyavskyy]

Multivariate Fuss-Catalan numbers and B-quasisymmetric functions
Jean-Christophe Aval
[Slides From Presentation]

Polynomial realizations of some trialgebras
Jean-Christophe Novelli and Jean-Yves Thibon

Nonnegativity properties of the dual canonical basis
Mark Skandera

Finite Generation of Symmetric Ideals
Christopher Hillar and Matthias Aschenbrenner

On the chromatic symmetric function of a tree
Jeremy Martin and Jennifer Wagner

Bijective counting of Kreweras walks and loopless triangulations
Olivier Bernardi
[Slides From Presentation]

Braided differential calculus and quantum Schubert calculus
Anatol Kirillov and Toshiaki Maeno

Characterization of Eulerian binomial and Sheffer posets
Richard Ehrenborg and Margaret Readdy

On the Number of Factorizations of a Full Cycle
John Irving
[Slides From Presentation]

Central Delannoy numbers, Legendre polynomials, and a balanced join operation preserving the Cohen-Macaulay property
Gabor Hetyei

On the characteristic map of finite unitary groups
Nathaniel Thiem and C. Ryan Vinroot

Coincidences among skew Schur functions
Victor Reiner, Kristin Shaw and Stephanie van Willigenburg
[Slides From Presentation by Stephanie van Willigenburg]

Virtual crystal structure on rigged configurations
Anne Schilling
[Slides From Presentation]

Kempf collapsing and quiver loci
Allen Knutson and Mark Shimozono
[Slides From Presentation by Mark Shimozono]

The Horn recursion for Schur $P$- and $Q$-functions
Kevin Purbhoo and Frank Sottile
[Slides From Presentation by Kevin Purbhoo]

Matrix compositions
Emanuele Munarini, Maddalena Poneti and Simone Rinaldi
[Slides From Presentation by Emanuele Munarini]

An analogue of the Robinson-Schensted-Knuth Algorithm and its application to standard bases
Sarah Mason
[Slides From Presentation]

The combinatorics of frieze patterns and Markoff numbers
James Propp
[Slides From Presentation]

Clusters, Coxeter-sortable elements and noncrossing partitions
Nathan Reading

From Orbital varieties to Alternating Sign Matrices
Philippe Di Francesco and Paul Zinn-Justin
[Slides From Presentation by Paul Zinn-Justin]

Shellable complexes and topology of diagonal arrangements
Sangwook Kim
[Slides From Presentation]

Bounds on the number of inference functions of a graphical model
Sergi Elizalde and Kevin Woods
[Slides From Presentation by Sergi Elizalde]

Combinatorial aspects of elliptic curves
Gregg Musiker
[Slides From Presentation]

On the Combinatorics of Crystal Graphs
Cristian Lenart
[Slides From Presentation]

A Bijection for Unicellular Partitioned Bicolored Maps
Ekaterina Vassilieva and Gilles Schaeffer
[Slides From Presentation by Ekaterina Vassilieva]

Representation theories of some towers of algebras related to the symmetric groups and their Hecke algebras
Nicolas M. Thiéry and Florent Hivert
[Slides From Presentation with accompanying MuPAD file]

Ehrhart polynomials of lattice-face polytopes
Fu Liu
[Slides From Presentation]

Flag arrangements and triangulations of products of simplices
Federico Ardila and Sara Billey
[Slides From Presentation by Federico Ardila]

A Proof of the q, t-Square Conjecture
Mahir Can and Nicholas Loehr