Special Seminar

강연주제: On up and down operators for King tableaux

강연일시: 2026.9.15.(화) 10:30-12:00

강연장소: 제 1과학관 31351A호

강연자: Yasuhide NUMATA (Hokkaido Univ.)

Abstract

Fomin introduced a general method to construct Robison-type correspondeces for differential posets (or dual graphs), 

which is an abstraction of Young tableaux using up and down operators.

The analogues to Robinson-Schensted type and Robinson-Schensted-Knuth-type correspondeces are also known.

King tableaux is a generalization of Young tableaux, which are used for symplectic representation theory.

Berele gave a Robinson-Sechensted type correspondece for them, whose insertion may decrease the number of box.

In this talk, we introduce up and down operators to describe the correspondence.

This talk is based on joint work with M. Kobayashi (Kanagawa Univ.),

T. Matsumura (ICU), and S. Sugimoto (ICU).