ON THE LOCAL LANGLANDS CORRESPONDENCE FOR SPLIT CLASSICAL GROUPS OVER LOCAL FUNCTION FIELDS
ON THE LOCAL LANGLANDS CORRESPONDENCE FOR SPLIT CLASSICAL GROUPS OVER LOCAL FUNCTION FIELDS
复制标题
论局部功能域上分裂古典群的局部朗兰对应
DOI：
--
复制
发表时间：
2015
影响因子：
0.9
通讯作者：
S. Varma
中科院分区：
文献类型：
--
作者：
R. Ganapathy;S. Varma
我们证明了一定的深度界限亚瑟的内窥镜转移的代表性从经典的群体，相应的一般线性群体的特征0的局部领域，与一些限制的残留特征。然后利用这些结果和Deligne和Kazhdan研究闭局部域上表示论的方法，在特征的某些限制下，由亚瑟关于特征0的相应结果得到了局部函数域上分裂经典群的局部Langlands对应.
We prove certain depth bounds for Arthur’s endoscopic transfer of representations from classical groups to the corresponding general linear groups over local fields of characteristic 0, with some restrictions on the residue characteristic. We then use these results and the method of Deligne and Kazhdan of studying representation theory over close local fields to obtain, under some restrictions on the characteristic, the local Langlands correspondence for split classical groups over local function fields from the corresponding result of Arthur in characteristic 0.