Lethbridge Number Theory and Combinatorics Seminar: Andrew Fiori

In this talk I will discuss joint work with Clifton Cunningham, Ahamed Moussaui, James Mracek and Bin Xu. I will begin by giving a brief overview of the (conjectural) Langlands Correspondence, focusing in particular on Vogan's geometric reformulation of  the local Langlands Correspondence. We will then discuss some geometric objects that arise as part of several conjectures which give geometric interpretations to Arthur packets and their associated stable distributions under the LLC. More specifically we shall discuss equivariant perverse sheaves and their vanishing cycles.