Algebraic Combinatorics Seminar - Yuval OhapkinExport this event to calendar

Thursday, August 1, 2019 — 3:30 PM EDT

Title: Bijections among symmetric tableaux via folding and mixed insertion

Speaker: Yuval Ohapkin
Affiliation: University of Waterloo
Room: MC 5417

Abstract:

A standard Young tableau with entries $-M < \cdots -1 < 1 < \cdots < M$ can be "folded" by performing certain conversions and rectifications in sequence. This operation yields a tableau with entries $1' < 1 < \cdots < M' < M$ and has a remarkable relationship to a generalization of Schensted insertion known as  "mixed insertion". Using a connection between domino insertion and mixed insertion, we can show that folding yields a bijection between certain tableaux with rotational symmetry (obtained from specific shifted tableaux) and symmetric domino tableaux (that are in one-to-one correspondence with standard square tableaux). Similar bijections arise when considering other symmetries, some of which admit geometric explanations.

Location 
MC - Mathematics & Computer Building
5417
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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