Seminario di Geometria Algebrica: Schubert classes in the algebraic cobordism of generalized flag bundles

Thursday, January 9, 2014, h.14:30 - Room 2BC30 - Thomas Hudson


Seminario di Geometria Algebrica

Thursday January 9, 2014, h. 14:30-15:30 - Room 2BC30
Thomas Hudson (Daejeon, Corea)
"Schubert classes in the algebraic cobordism of generalized flag bundles"

Let V be a vector bundle over a smooth scheme X. One of the first steps needed to establish a Schubert calculus for the full flag bundle FL V consists in identifying a basis for CH^*(FL V) as a module over CH^*(X). For this purpose one usually considers Schubert classes, i.e., fundamental classes of Schubert varieties, which can be described by means of double Schubert polynomials. Analogous constructions are also available for flags of bundles which are isotropic with respect to a given quadratic (or symplectic) form on V. I will illustrate one possible way of defining Schubert classes in the context of a general oriented cohomology theory and more specifically in algebraic cobordism.

Rif. Int. A.Bertapelle

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