Speaker: Michael Pleger

Title: Orbits on Irreducible Representations of Simple Algebraic Groups

Abstract: Let \(G\) be a simple algebraic group and \(V\) an irreducible representation of \(G\). In general, the orbits of \(G\) on \(V\) have different dimensions and we are interested in the maximum of these dimensions. A good approach for this is to bound the minimal codimension of orbits. Then, for a fixed group \(G\) there are only finitely many irreducible representations with an orbit of codimension smaller than a given bound.

In this talk, we will motivate our investigations of orbits of minimal codimension of \(G\) on an irreducible representation and we will discuss several cases.