You are here

A crystal structure on shifted tableaux, with applications to type B Schubert curves

Maria Gillespie, UC Davis
Wednesday, March 1, 2017 - 3:30pm
PDL C-401

We present a new crystal-like structure on shifted (marked) semistandard skew tableaux. The raising and lowering operators commute with jeu de taquin slides, and detect the type B Littlewood-Richardson condition as the highest weight entries. Certain substructures satisfy the Kashiwara crystal axioms for the root system of GLnGLn. If time permits, we will discuss applications of our new operators to Schubert curves in the orthogonal Grassmannian.

This is joint work with Jake Levinson and Kevin Purbhoo.

Event Type: 
Related Fields: