| Orateur(s) | Venkatramani BALAJI - Chennai Math. Inst. SIPCOT IT,
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| Titre | Torsors under Bruhat-Tits group schemes and representations of Fuchsian groups. |
| Date | 19/10/2012 |
| Horaire | 11:00 à 12:00 |
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| Diffusion | |
| Résume | Let $X$ be an irreducible smooth projective algebraic curve of genus $g \geq 2$ over the ground field $\mathbb{C}$ and let $G$ be a semisimple simply connected algebraic group. The aim of this talk (joint work with C.S. Seshadri) is to introduce the notion of \textit{semistable and stable parahoric} torsors under a certain Bruhat-Tits group scheme $\mathcal{G}$ and construct the moduli space of semistable parahoric $\mathcal{G}$-torsors; we also identify the underlying topological space of this moduli space with certain spaces of homomorphisms of Fuchsian groups into a maximal compact subgroup of $G$. The results give a generalization of the earlier results of Mehta and Seshadri on parabolic vector bundles. |
| Salle | 175 rue du Chevaleret - 75013 Paris |
| Adresse | |
