Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part II, Tome 134 (1984), pp. 138-156
Citer cet article
V. G. Drinfeld. Two-dimensional $l$-adic representations of the Galois group of a global field of characteristic $p$ and automorphic forms on $GL(2)$. Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part II, Tome 134 (1984), pp. 138-156. http://geodesic.mathdoc.fr/item/ZNSL_1984_134_a6/
@article{ZNSL_1984_134_a6,
author = {V. G. Drinfeld},
title = {Two-dimensional $l$-adic representations of the {Galois} group of a~global field of characteristic~$p$ and automorphic forms on $GL(2)$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {138--156},
year = {1984},
volume = {134},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_134_a6/}
}
TY - JOUR
AU - V. G. Drinfeld
TI - Two-dimensional $l$-adic representations of the Galois group of a global field of characteristic $p$ and automorphic forms on $GL(2)$
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 138
EP - 156
VL - 134
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_134_a6/
LA - ru
ID - ZNSL_1984_134_a6
ER -
%0 Journal Article
%A V. G. Drinfeld
%T Two-dimensional $l$-adic representations of the Galois group of a global field of characteristic $p$ and automorphic forms on $GL(2)$
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 138-156
%V 134
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_134_a6/
%G ru
%F ZNSL_1984_134_a6
It is known that to each cuspidal automorphic representation of $GL(2)$ over the adele ring of a global field $k$ of characteristic $p$ there corresponds an irreducible two-dimensional $l$-adic representation of the Galois group of $k$. In the present paper it is proved that to each irreducible two-dimensional $l$-adic representation of the Galois group there corresponds a cuspical automorphic representation of $GL(2)$ over the adele ring. Thus the proof of the Langlands conjecture for $GL(2,k)$ is completed.
