Geodesic
On the Notion of Conductor in the Local Geometric Langlands Correspondence
Canadian journal of mathematics, Tome 69 (2017) no. 1, pp. 107-129

Voir la notice de l'article provenant de la source Cambridge

DOI

Under the local Langlands correspondence, the conductor of an irreducible representation of $\text{G}{{\text{l}}_{n}}\left( F \right)$ is greater than the Swan conductor of the corresponding Galois representation. In this paper, we establish the geometric analogue of this statement by showing that the conductor of a categorical representation of the loop group is greater than the irregularity of the corresponding meromorphic connection.
DOI : 10.4153/CJM-2016-016-1
Mots-clés : 17B67, 17B69, 22E50, 20G25, local geometric Langlands, connections, cyclic vectors, opers, conductors, Segal-Sugawara operators, Chervov-Molev operators, critical level, smooth representations, affine Kac-Moody algebra, categorical representations 
Kamgarpour, Masoud. On the Notion of Conductor in the Local Geometric Langlands Correspondence. Canadian journal of mathematics, Tome 69 (2017) no. 1, pp. 107-129. doi: 10.4153/CJM-2016-016-1
@article{10_4153_CJM_2016_016_1,
     author = {Kamgarpour, Masoud},
     title = {On the {Notion} of {Conductor} in the {Local} {Geometric} {Langlands} {Correspondence}},
     journal = {Canadian journal of mathematics},
     pages = {107--129},
     year = {2017},
     volume = {69},
     number = {1},
     doi = {10.4153/CJM-2016-016-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-016-1/}
}
TY  - JOUR
AU  - Kamgarpour, Masoud
TI  - On the Notion of Conductor in the Local Geometric Langlands Correspondence
JO  - Canadian journal of mathematics
PY  - 2017
SP  - 107
EP  - 129
VL  - 69
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-016-1/
DO  - 10.4153/CJM-2016-016-1
ID  - 10_4153_CJM_2016_016_1
ER  - 
%0 Journal Article
%A Kamgarpour, Masoud
%T On the Notion of Conductor in the Local Geometric Langlands Correspondence
%J Canadian journal of mathematics
%D 2017
%P 107-129
%V 69
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-016-1/
%R 10.4153/CJM-2016-016-1
%F 10_4153_CJM_2016_016_1

Cité par Sources :