dc.contributor.author | Frenkel, Edward | |
dc.contributor.author | Gaitsgory, Dennis | |
dc.date.accessioned | 2010-08-12T13:45:33Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Frenkel, Edward, and Dennis Gaitsgory. 2009. Local geometric langlands correspondence: The spherical case. In Algebraic analysis and around: In honor of Professor Masaki Kashiwara's 60th Birthday, ed. M. Kashiwara, T Miwa, et al, 167-186. Tokyo : Mathematical Society of Japan. | en_US |
dc.identifier.isbn | 9784931469518 | en_US |
dc.identifier.issn | 0920-1971 | en_US |
dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:4341700 | |
dc.description.abstract | A module over an affine Kac–Moody algebra $\hat{g}$ is called spherical if the action of the Lie subalgebra g[[t]] on it integrates to an algebraic action of the corresponding group G[[t]]. Consider the category of spherical $\hat{g}$-modules of critical level. In this paper we prove that this category is equivalent to the category of quasi-coherent sheaves on the ind-scheme
of opers on the punctured disc which are unramified as local systems. This result is a categorical version of the well-known description of spherical vectors in representations of groups over local non-archimedian fields. It may be viewed as a special case of the local
geometric Langlands correspondence proposed in [FG2]. | en_US |
dc.description.sponsorship | Mathematics | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Mathematical Society of Japan | en_US |
dc.relation.isversionof | http://mathsoc.jp/publication/ASPM/ | en_US |
dc.relation.hasversion | http://arxiv.org/abs/0711.1132v1 | en_US |
dash.license | LAA | |
dc.subject | quantum algebra | en_US |
dc.subject | algebraic geometry | en_US |
dc.subject | representation theory | en_US |
dc.title | Local Geometric Langlands Correspondence: The Spherical Case | en_US |
dc.type | Monograph or Book | en_US |
dc.description.version | Author's Original | en_US |
dc.relation.journal | Advanced Studies in Pure Mathematics | en_US |
dash.depositing.author | Gaitsgory, Dennis | |
dc.date.available | 2010-08-12T13:45:33Z | |
dash.contributor.affiliated | Gaitsgory, Dennis | |