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The Edelman-Greene and Little correspondences

SPEAKER: Benjamin Young

TITLE: The Edelman-Greene and Little correspondences

ABSTRACT: I’ll discuss some recent joint work with Zach Hamaker.
There are two bijections between families of reduced words in the
symmetric group and sets of standard Young tableaux, due to
Edelman-Greene and Little respectively. We showed that these
bijections are the same.

The work is related to the Stanley symmetric functions, the
Lascoux-Schutzenberger tree, random sorting networks, and other areas,
but we don’t use those facts at all. The main insights were completely
elementary and combinatorial, and in large part discovered by
extensive computer experiments.