Let Image removed.be a complex semisimple algebraic group of adjoint type and Image removed. the wonderful compacti
cation. We show that the closure in \overline{G} of the centralizer Image removed.of a regular nilpotent Image removed.is isomorphic to the Peterson variety. We generalize this result to show that for any regular Image removed., the closure of the centralizer Image removed.in Image removed.is isomorphic to the closure of a general Image removed.-orbit in the flag variety. We consider the family of all such centralizer closures, which is a partial compactication of the universal centralizer. We show that it has a natural log-symplectic Poisson structure that extends the usual symplectic structure on the universal centralizer.


Talk Number 18020085
Speaker Profile Ana Balibanu
Perimeter Institute Recorded Seminar Archive