Osaka Representation Theory Seminar （2015） /Math of OCU(J)

Osaka City University Advanced Mathematical Institute

Department of Mathematics and Physics
Graduate School of Science
Osaka City University



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	Osaka Representation Theory Seminar（2016）
(2015)

Place：Osaka City University Sugimoto Campus
Place：Osaka City University Academic Extension Center

Speaker	：Soichi Okada（Graduate School of Mathematics, Nagoya University）
Title	：Pieri rules and oscillating tableaux
Date	：July 13 (Wed.) 18：00～19：30
Place	：Osaka City University Academic Extension Center
Abstract

Krattenthaler and Burrill-Courtiel-Fusy-Melczer-Mishna gave bijections between oscillating tableaux of length k consisting of partitions with at most n rows and ending at the one-row shape (m), and standard tableaux of size k whose shape has at most 2n rows and exactly m columns of odd length. In this talk, we give another proof of this equinumerous result by using the representation theory of the symplectic group. And we present generalizations and variants based on the Pieri rules for the classical groups.

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Speaker	：Chris Bowman（City University London）
Title	：Kronecker Tableaux
Date	：April 27 (Wed.) 17：00～18：30
Place	：Science Building., F415,Osaka City University　(Campus Map No.12)
Abstract

The Kronecker problem asks for an algorithmic understanding of the coefficients arising in the decomposition of the tensor product of two simple modules for the symmetric group. We provide an algorithm for calculating Kronecker coefficients labelled by so-called “co-Pieri triples” of partitions. This, in some sense, solves half of the Kronecker problem. This is joint work with Maud De Visscher and John Enyang.

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