| Orateur(s) | Syu KATO - RIMS, Kyoto University,
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| Titre | A homological study of Green polynomials. |
| Date | 17/05/2013 |
| Horaire | 11:00 à 12:00 |
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| Diffusion | |
| Résume | Kostka polynomials are certain family of polynomials indexed by two copies of simple modules of a Weyl group W. They are intimately connected with the (generalized) Springer correspondences, and they admits a characterization by the Lusztig-Shoji algorithm.
In this talk, we reinterpret the Lusztig-Shoji algorithm (of a complex reflection group) in terms of homological algebra. This naturally upgrades Kostka polynomials to a family of indecomposable modules that we call Kostka systems. They give a new characterization and computation method of Kostka polynomials arising from the generalized Springer correspondences in the sense of Lusztig. |
| Salle | 175 rue du Chevaleret - 75013 Paris |
| Adresse | |
