## Conference Proceedings

The complete conference proceedings are available as of June 3, 2006. Individual contributed papers and posters are also available for download below.## 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

## Contributed Posters

*On the complexity of computing Kostka numbers and Littlewood- Richardson coefficients*

Hariharan Narayanan

*Overpartitions, lattice paths and Rogers-Ramanujan identities*

Sylvie Corteel and Olivier Mallet

*Bijections of trees arising from Voiculescu's free probability theory*

Artur Jez and Piotr Sniady

[Electronic Version of Poster]

*Schubert polynomials for the affine Grassmannian*

Thomas Lam

*Counting unrooted hypermaps on closed orientable surface*

Alexander Mednykh and Roman Nedela

*Algebraic shifting of cyclic polytopes and stacked polytopes*

Satoshi Murai

*Macdonald polynomials at roots of unity*

Francois Descouens and Hideaki Morita

*Enumeration of Bruhat intervals between nested involutions in $S_{n}$*

Alessandro Conflitti

*Area of Catalan Paths on a Checkerboard*

Szu-En Cheng, Sen-Peng Eu and Tung-Shan Fu

*The Andrews-Stanley partition function and Al-Salam-Chihara polynomials*

Masao Ishikawa and Jiang Zeng

*Kazhdan-Lusztig immanants and products of matrix minors, II*

Brendon Rhoades and Mark Skandera

*A Spectral Approach to Pattern-Avoiding Permutations*

Richard Ehrenborg, Sergey Kitaev and Peter Perry

*Pieri's Formula for Generalized Schur Polynomials*

Yasuhide Numata

*Enriched $P$-partitions and peak algebras of types A and B*

T. Kyle Petersen

*Conjugacy in Permutation Representations of the Symmetric Group*

Yona Cherniavsky and Mishael Sklarz

*Algebraic structures on Grothendieck groups of a tower of algebras*

Huilan Li

[Electronic Version of Poster with guide]

*The Chromatic Symmetric Function of Symmetric and Near-Symmetric Caterpillars*

Matthew Morin

*Statistics on Signed Permutations Groups*

Micharl Fire

*An algorithm to describe bijections involving Dyck paths*

Yvan Le Borgne

*On bar partitions and spin character zeros*

Christine Bessenrodt

*A new construction of the Loday-Ronco algebra*

Maxime Rey

*Graded Graphs and Fomin's $r$-correspondences associated to the Hopf Algebras of Planar Binary Trees, Quasi-symmetric Functions and Noncommutative Symmetric Functions*

Janvier Nzeutchap

*Strong Descent Numbers and Turán Type Theorems*

Ron M. Adin and Yuval Roichman

*Green polynomials at roots of unity and its application*

Hideaki Morita

*New results on the combinatorial invariance of KL-polynomials*

Federico Incitti

*The number of Z-convex polyominoes*

Enrica Duchi, Simone Rinaldi and Gilles Schaeffer

*A Rook Theory Model for the Generalized p,q-Stirling Numbers of the First and Second Kind*

Karen Briggs

*Hankel Determinants for Some Common Lattice Paths*

Robert Sulanke and Guoce Xin

*General Augmented Rook Boards & Product Formulas*

Brian Miceli

*Some Expansions of the Dual Basis of $Z_{\lambda}$*

Amanda Riehl

*The $m$-colored composition poset*

Brian Drake and T. Kyle Petersen

*A general bijection for a class of walks on the slit plane*

Philippe Nadeau

*Enumerating Bases of Self-Dual Matroids*

Molly Maxwell

*Classifying ascents and descents with specified equivalences mod k*

Jeffrey Liese

*A Labelling of the Faces in the Shi Arrangement*

Felipe Rincon

*Restricted Dumont permutations, Dyck paths, and noncrossing partitions*

Alexander Burstein, Sergi Elizalde and Toufik Mansour

*Restricted Patience Sorting and Pattern Avoidance*

Alexander Burstein and Isaiah Lankham

*Octahedrons with equally many lattice points and generalizations*

Thomas Stoll and Robert F. Tichy

*Pattern avoiding doubly alternating permutations*

Erik Ouchterlony

*"Elliptic" enumeration of nonintersecting lattice paths*

Michael Schlosser