Distributions on homogeneous spaces and applications

In pr og re ss Distributions on homogeneous spaces and applications N. Ressayre? May 20, 2011 Abstract Contents 1 Introduction 2 2 Infinitesimal filtrations 6 2.1 The case of a vector space . . . . . . . . . . . . . . . . . . . . . . 6 2.2 The case of manifolds . . . . . . . . . . . . . . . . . . . . . . . . 12 2.3 The case of varieties . . . . . . . . . . . . . . . . . . . . . . . . . 13 3 Infinitesimal filtration and cohomology 13 3.1 Filtration of differential forms on a manifold . . . . . . . . . . . . 13 3.2 Filtration of the cohomology . . . . . . . . . . . . . . . . . . . . 15 3.3 Cohomology with complex coefficients . . . . . . . . . . . . . . . 16 3.4 The case of a smooth complex variety . . . . . . . . . . . . . . . 17 4 Isomorphism with Belkale-Kumar's product 19 4.1 Infinitesimal filtration of G/P . . . . . . . . . . . . . . . . . . . .

• cominuscule then


• then


• tangent space


• belkale- kumar product


• intersecting schubert


• kostant's harmonic


• schubert varieties