Seminar

# Counting standard barely set-valued tableaux of shifted shapes

#### Jang Soo Kim - Sungkyunkwan University

A standard barely set-valued tableau of shape $\lambda$ is a filling of the Young diagram $\lambda$ with integers $1,2,\dots,|\lambda|+1$ such that the integers are increasing in each row and column, and every cell contains one integer except one cell that contains two integers. Counting standard barely set-valued tableaux is closely related to the coincidental down-degree expectations (CDE) of Young posets. Using $q$-integral techniques we give a formula for the number of standard barely set-valued tableaux of arbitrary shifted shape. We then prove a conjecture of Reiner, Tenner and Yong on the CDE property of shifted shape $(n,n-2,\dots,n-2k)$. This is joint work with Michael Schlosser and Meesue Yoo.
Organizers
Sara Billey
University of Washington
Petter Brändén
KTH Royal Institute of Technology
Sylvie Corteel
Université Paris Diderot, Paris 7
Svante Linusson
KTH Royal Institute of Technology

# ProgramContact

Svante Linusson

linusson@math.kth.se

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