Author: Andrew Mathas
Title:  Tilting modules for cyclotomic Schur algebras

Abstract:
This paper investigates the tilting modules of the
cyclotomic $q$--Schur algebras, the Young modules of the Ariki--Koike
algebras, and the interconnections between them. The main tools used
to understand the tilting modules are contragredient duality, and the
Specht filtrations and dual Specht filtrations of certain permutation
modules.  Surprisingly, Weyl filtrations --- which are in general more
powerful than Specht filtrations --- play only a secondary role.
We also develop a theory of Young modules for the Ariki--Koike
algebras; as far as we know this is new even for Coxeter groups of
type~$B$.