| Orateur(s) | Tomoyuki ARAKAWA - RIMS, Kyoto,
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| Titre | Nilpotent orbits, affine Kac-Moody algebras, and affine W-algebra. |
| Date | 17/10/2014 |
| Horaire | 11:00 à 12:00 |
|
| Diffusion | |
| Résume | It is known that the representation theory of finite W-algebras are closely related with the theory of primitive ideals. In my talk I will explain how these relations are upgraded to the case of corresponding affine algebras and prove the following three conjectures concerning affine Kac-Moody algebras and affine W-algebras.
(1) Fegin-Frenkel conjecture on the singular support of Kac-Wakimoto admissible representations;
(2) Adamovic-Milas conjecture on rationality of admissible affine vertex algebras;
(3) Frenkel-Kac-Wakimto conjecture on the existence and construction of minimal models of W-algebras. |
| Salle | 175 rue du Chevaleret - 75013 Paris |
| Adresse | |
