Title: K-theory Schubert calculus of the maximal orthogonal Grassmannian and set-valued decomposition tableaux
Speaker: Takeshi Ikeda (Okayama)
Abstract: We formulate a new combinatorial rule to express the Schubert structure constants for K-theory of maximal orthogonal Grassmannian. Our approach is to use the combinatorial notion of set-valued decomposition tableaux, SVDT for short, whose non-set-valued version was introduced by Serrano. The rule in general is still a conjecture apparently different from the ones previously given by Clifford-Thomas-Yong '14, and Pechenik-Yong '16. We proved a special case called the Pieri-rule which was first proved by Buch-Ravikumar '12. Our arguments comes from previous works on K-theory version of Schur P-functions. I will discuss related open problems in combinatorics of SVDTs. This talk is based on joint work with S. Cho and M. Nakasuji.
Seminar URL: https://research.math.osu.edu/gcis/