SPEAKER: Alexander Kleshchev

TITLE: Combinatorics of partitions of arbitrary type and representation theory

ABSTRACT: If you consider symmetric groups as ``type A'' objects and know that combinatorics of partitions has something to do with its representation theory, you might be tempted to generalize this situation to type E_8, or E_9, or E_{10}... (for example, is there a hook formula in type E_9?) I will present a new such generalization which is related to the recently discovered Khovanov-Lauda-Rouquier algebras. The first thing you need to do is to change your point of view for type A and switch from the English notation for partitions to the Russian notation...