Recent Progress in Algebraic Combinatorics

2000/10/23 by Richard P. Stanley, Stanley, Richard P.
Mathematics · #05Exx #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05Exx

paper · pdf · doi:10.48550/arxiv.math/0010218

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

arxiv created 2001/12/19 · arxiv updated 2009/11/30

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.

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