Twisted Geometric Langlands Correspondence for a Torus
نویسندگان
چکیده
منابع مشابه
Twisted Geometric Langlands Correspondence for a Torus
Let T be a split torus over local or global function field. The theory of BrylinskiDeligne gives rise to the metaplectic central extensions of T by a finite cyclic group. The representation theory of these metaplectic tori has been developed to some extent in the works of M. Weissman, G. Savin, W. T. Gan, P. McNamara and others. In this paper we propose a geometrization of this theory in the fr...
متن کاملA geometric Jacquet-Langlands correspondence for U(2) Shimura varieties
Let G be a unitary group over Q, associated to a CM-field F with totally real part F, with signature (1, 1) at all the archimedean places of F. For certain primes p, and X a Shimura variety associated to G with good reduction at p, we construct a stratification of the characteristic p fiber of X , whose closed strata are indexed by subsets S of the archimedean places of F. Certain closed strata...
متن کاملTowards a geometric Jacquet-Langlands correspondence for unitary Shimura varieties
Let G be a unitary group over a totally real field, and X a Shimura variety associated to G. For certain primes p of good reduction for X, we construct cycles Xτ0,i on the characteristic p fiber of X. These cycles are defined as the loci on which the Verschiebung map has small rank on particular pieces of the Lie algebra of the universal abelian variety on X. The geometry of these cycles turns ...
متن کاملA Quantization Procedure of Fields Based on Geometric Langlands Correspondence
We expose a new procedure of quantization of fields, based on the Geometric Langlands Correspondence. Starting from fields in the target space, we first reduce them to the case of fields on one-complex-variable target space, at the same time increasing the possible symmetry group G. Use the sigma model and momentum maps, we reduce the problem to a problem of quantization of trivial vector bundl...
متن کاملOn the Langlands correspondence for symplectic motives
In this paper, we present a refinement of the global Langlands correspondence for discrete symplectic motives of rank 2n over Q. To such a motive Langlands conjecturally associates a generic, automorphic representation π of the split orthogonal group SO2n+1 over Q, which appears with multiplicity one in the cuspidal spectrum. Using the local theory of generic representations of odd orthogonal g...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2014
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnu220