Recent Progress in Algebraic Combinatorics
Combinatorics
2007-05-23 v2
Abstract
A survey of recent progress in three areas of algebraic combinatorics: (1) the Saturation Conjecture for Littlewood-Richardson coefficients, (2) the n! and (n+1)^{n-1} conjectures, and (3) longest increasing subsequences of permutations.
Cite
@article{arxiv.math/0010218,
title = {Recent Progress in Algebraic Combinatorics},
author = {Richard P. Stanley},
journal= {arXiv preprint arXiv:math/0010218},
year = {2007}
}
Comments
22 pages, submitted to the proceedings of Mathematical Challenges for the 21st Century, UCLA, August 7-12, 2000; revision updates references and adds slightly more material on the Hilbert scheme of points in the plane