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- handle: 10670/1.i8qprh
- doi: 10.60527/60mf-j063
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Laurent Manivel, « Laurent Manivel - The Satake correspondence in quantum cohomology », Canal-U, la vidéothèque de l'enseignement supérieur, ID : 10.60527/60mf-j063
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The Satake isomorphism identi es the irreducible representations of a semisimplealgebraic group with the intersection cohomologies of the Schubert varieties in the ane Grassmannianof the Langlands dual group. In the very special case where the Schubert varieties are smooth, one getsan identi cation between the so-called minuscule representations and the cohomology of the so-calledminuscule homogeneous spaces. I will explain how this extends to quantum cohomology.