Tableaux de Young et fonctions de Schur-Littlewood
Tangentes limites, cône de Whitney et régularité par intersection
Nous caractérisons, en terme de dimension (topologique et de Hausdorff) des fibres des espaces de limites de tangents et du cône de Whitney, les conditions de régularité et sur une stratification . Nous précisons ces résultats lorsque les espaces qui interviennent ne sont pas fractals, en particulier lorsque la stratification est sous-analytique.
Teoria dei fasci e trasformazioni integrali per -moduli tra varietà di Grassmann
The automorphism group of linear sections of the Grassmannians .
The dimension of some affine Deligne–Lusztig varieties
The distribution of bidegrees of smooth surfaces in Gr (1, P3).
The Genus of Curves in P4 verifying certain Flag conditions.
The geometry of the space of Cauchy data of nonlinear PDEs
First-order jet bundles can be put at the foundations of the modern geometric approach to nonlinear PDEs, since higher-order jet bundles can be seen as constrained iterated jet bundles. The definition of first-order jet bundles can be given in many equivalent ways - for instance, by means of Grassmann bundles. In this paper we generalize it by means of flag bundles, and develop the corresponding theory for higher-oder and infinite-order jet bundles. We show that this is a natural geometric framework...
The height function on the 2-dimensional cohomology of a flag manifold.
The indecomposability of H*(G/B, L)
The nil Hecke ring and singularity of Schubert varieties.
The normality of closures of orbits in a Lie algebra.
The Number of Rational Quartics on Calabi-Yau Hypersurfaces in Weighted Projective Space P (2,1...).
The permutation classes equinumerous to the smooth class.
The Runge approximation problem for holomorphic maps into Grassmannians.
The Schubert calculus of decomposable permutations. (Le calcul de Schubert des permutations décomposables.)
The size of Fulton's essential set.
The special Schubert calculus is real.
The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI
Equivalence is established between a special class of Painlevé VI equations parametrized by a conformal dimension , time dependent Euler top equations, isomonodromic deformations and three-dimensional Frobenius manifolds. The isomonodromic tau function and solutions of the Euler top equations are explicitly constructed in terms of Wronskian solutions of the 2-vector 1-constrained symplectic Kadomtsev-Petviashvili (CKP) hierarchy by means of Grassmannian formulation. These Wronskian solutions give...
The theorem of matheer on generic projections in the setting of algebraic geometry.