L. Andrew Jenkins: Nilpotent orbits for the general linear Lie superalgebra 𝔤𝔩(m|n)

In recent joint work with D. Nakano, an analogue 𝒩 of the nilpotent cone was constructed for classical simple Lie superalgebras, and 𝒩 was shown to consist of only finitely many nilpotent orbits. In this talk, we determine several geometric properties such as the dimension and irreducibility of 𝒩 for the Lie superalgebra 𝔤𝔩(m|n), and we give a more detailed description of the geometry and structure of the nilpotent orbits in this case. We also demonstrate connections between our nilpotent orbit representatives and certain signed Young diagrams appearing in the work of Kraft and Procesi.