The fixed subvariety of a regular unipotent operator on a wonderful compactification
Abstract: In this talk, in analogy with the theory of Springer fibers, we consider the variety of fixed points of a unipotent operator acting on the wonderful compactification of a classical symmetric space. In particular, we will work out in detail the guiding case of SL(2n)/Sp(2n), and describe a cell decomposition of the corresponding variety for a regular unipotent element.
This is a joint work with Roger Howe (Yale) and Michael Joyce (Tulane).