G.T.M. Seminar

Genova, Torino, Milano Seminar: a Day on Commutative Algebra and Algebraic Geometry



GENOVA, MARCH 31, 2009




A. Maffei: Equations defining symmetric varieties.

Abstract. Let G be a simple algebraic group and let H be the subgroup of point fixed by an involution of G. The affine variety G/H is called a symmetric variety. In some cases this variety has a natural set of generators and the relations are known to be quadratic. We describe the resulting equations in terms of plucker relations of a (possibly infinite dimensional) grassmannian.