Recent Progress in Algebraic Combinatorics
Abstract
Description
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.
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
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