Pavlo Pylyavskyy (part 2) "Bumpless pipe dream RSK and Schubert structure constants"
Channel: Schubert Seminar
Date: 08/11/2022

Title: Bumpless pipe dream RSK and Schubert structure constants
 
Abstract:  We introduce analogs of left and right RSK insertion for Schubert calculus of complete flag varieties. The objects being inserted are certain biwords, the insertion objects are bumpless pipe dreams, and the recording objects are decorated chains in Bruhat order. As an application, we give a combinatorial rule for Schubert structure constants in the separated descent case. We explain in what way non-associativity of certain monoid is the main obstacle to making this approach work in all cases. The talk is based on joint work with Daoji Huang.