Une correspondance de Jacquet-Langlands p-adique
Chenevier, Gaetan
HAL, hal-00145799 / Harvested from HAL
Text on HAL
We extend the Jacquet-Langlands'correspondence between the Hecke-modules of usual and quaternionic modular forms, to overconvergent p-adic forms of finite slope. We show that this correspondence respects p-adic families and is induced by an isomorphism between some associated eigencurves.
Publié le : 2005-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT],  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT] 
@article{hal-00145799,
     author = {Chenevier, Gaetan},
     title = {Une correspondance de Jacquet-Langlands p-adique},
     journal = {HAL},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00145799}
}

Chenevier, Gaetan. Une correspondance de Jacquet-Langlands p-adique. HAL, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/hal-00145799/