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Laurent Manivel - The Satake correspondence in quantum cohomology


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Laurent Manivel - The Satake correspondence in quantum cohomology

The Satake isomorphism identi es the irreducible representations of a semisimple

algebraic group with the intersection cohomologies of the Schubert varieties in the ane Grassmannian
of the Langlands dual group. In the very special case where the Schubert varieties are smooth, one gets
an identi cation between the so-called minuscule representations and the cohomology of the so-called
minuscule homogeneous spaces. I will explain how this extends to quantum cohomology.
 

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