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Schubert Calculus on the Arithmetic Grassmannian
Arithmetic Grassmannian Schubert Calculus
2015/12/17
Let G be the arithmetic Grassmannian over SpecZ with the natural invariant KÄahler metric on G(C). We study the combinatorics of
the arithmetic Schubert calculus in the Arakelov Chow ring CH(G)
THE CONNECTION BETWEEN REPRESENTATION THEORY AND SCHUBERT CALCULUS
CONNECTION BETWEEN REPRESENTATION SCHUBERT CALCULUS
2015/12/17
Our aim here is to describe a direct and natural connection between the representation theory of GLn and the Schubert calculus, which goes via the Chern-Weil
theory of characteristic classes. Indeed,...
Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus
homogeneous spaces generalized Schubert calculus
2015/7/14
We describe recent work on positive descriptions of the structure constants of the cohomology of homogeneous spaces such as the Grassmannian, by degenerations and related methods. We
give various ext...