| Orateur(s) | Geordie WILLIAMSON - Oxford University,
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| Titre | Kazhdan-Lusztig polynomials, Soergel bimodules and a little Hodge theory. |
| Date | 02/11/2012 |
| Horaire | 11:00 à 12:00 |
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| Diffusion | |
| Résume | The category of Soergel bimodules is a certain full monoidal subcategory of bimodules over a polynomial ring. Soergel bimodules have many useful and beautiful properties. I will try to explain why Soergel bimodules become even more interesting when one considers them over the real numbers. It turns out that they have all of the properties that one expects from the real cohomology of smooth algebraic varieties! In this way one obtains enough structure to give a proof of Soergel's conjecture (by adapting arguments due to de Cataldo and Migliorini). Corollaries are a proof of the positivity of Kazhdan-Lusztig polynomials and an algebraic proof of the Kazhdan-Lusztig conjecture. (Joint work with Ben Elias.) |
| Salle | 175 rue du Chevaleret - 75013 Paris |
| Adresse | |
