Unipotent fixed subvarieties in certain wonderful embeddings
Abstract: The theory of unipotent fixed subvarieties in a homogenous space has important ramifications in geometric representation theory and combinatorics. In this talk, towards extending this theory to certain (wonderful) embeddings of symmetric spaces, we present our preliminary results on unipotent fixed subvarieties of complete quadrics as well as some related compactifications. This is talk is based on our joint work with Roger Howe (Yale) and Michael Joyce (Tulane)..