MULTIPLICITY ONE OF REGULAR SERRE WEIGHTS

作者:Cheng Chuangxun*
来源:Israel Journal of Mathematics, 2013, 198(1): 419-466.
DOI:10.1007/s11856-013-0028-5

摘要

We consider a potentially Barsotti-Tate deformation problem of a modular Galois representation. By constructing a Diamond-Taylor-Wiles system, we prove an R = T theorem and a multiplicity one result in characteristic 0. Applying this result, we then prove a multiplicity one result in characteristic p, which provides certain evidence for a conjecture of Breuil.

  • 出版日期2013-11