Schubert Calculus on a Grassmann Algebra

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Abstract The Grassmann algebra of a finitely generated free module of rank n is a module over a natural commutative subring of endomorphisms. It turns out that any degree of the exterior algebra inherits a module structure which is isomorphic to the homology ring of some grassmannian, seen as a module over its cohomology. The talk will be mainly devoted to show how such a formalism works.

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