Abstract: The Ariki-Koike algebras are a class of finite dimensional algebras which rose to prominence because of their (conjectural) connections with the representations of the finite groups of Lie type (such as GL_n(q)). This talk will give a survey of the representation theory of these algebras, and the related cyclotomic Schur algebras, with an emphasis on the combinatorial techniques that have been used to study them.
This talk will be accessible to graduate students.