Masaki Watanabe, On the structure of Schubert modules and filtration by Schubert modules,

Schubert modules, introduced by Kraskiewicz and Pragacz, are certain representations of the group of all upper triangular matrices. They have the property that their characters are just (single) Schubert polynomials, and thus the class of modules having a filtration by Schubert modules is deeply related with the study of Schubert-posivitity. I will talk about my recent results on such class of modules.