Lethbridge Number Theory and Combinatorics Seminar: Andrew Fiori

In this talk we will discuss a combinatorial approach to studying the geometry of the moduli space of Langlands parameters for GLn. We will first discuss several connections between the study of partitions and the study of nilpotent conjugacy classes. We then generalize some of these ideas to describe a relationship between multi-segments and orbits in the moduli space of Langlands parameters. Finally we shall explain how these ideas lead to a proof that simple parameters have simple packets.