New supercuspidal representations from the Weil representation in characteristic two

Residue characteristic two presents many additional difficulties in the construction of
supercuspidal representations, and even for classical groups, our knowledge is incomplete.
In this talk, based on joint work with Jessica Fintzen, I'll explain how to overcome
one such difficulty: the exceptional behavior of the Heisenberg group and Weil
representation in characteristic two. Time permitting, I'll discuss how to overcome
a second difficulty: disconnectedness of Lie algebra centralizers.