SPEAKER: Gary Seitz
TITLE: Unipotent and nilpotent classes in algebraic groups, finite groups of Lie type, and associated Lie algebras.
ABSTRACT I will describe the current situation in a project aimed at the analysis of unipotent classes and nilpotent classes in algebraic groups, finite groups of Lie type and associated Lie algebras. We aim for complete results for groups of both classical and exceptional types and in arbitrary characteristic. I will indicate the general overview of the project and point out some of the wonderful connections between nilpotent and unipotent elements, which is especially interesting in small characteristic.