Nilpotent orbits and Cartan subalgebras in reductive p-adic groups

For real Lie groups, complex Lie groups, and finite groups of Lie type we have had a very good understanding of both the set of nilpotent orbits and the set of conjugacy classes of Cartan subalgebras for at least half a century.  In this talk I will describe and illustrate a way to understand these objects for reductive p-adic groups.