Strong local-global compatibility in the -adic Langlands program for
Przemyslaw ChojeckiOxford University, UK
Claus SorensenUniversity of California, San Diego, USA
For certain mod Galois representations , arising from modular forms on definite unitary groups in two variables, we express the -part of completed cohomology (away from ) as a tensor product . Here is attached to the universal deformation via the -adic local Langlands correspondence for GL, and is given by the local Langlands correspondence in families, of Emerton and Helm.
Cite this article
Przemyslaw Chojecki, Claus Sorensen, Strong local-global compatibility in the -adic Langlands program for . Rend. Sem. Mat. Univ. Padova 137 (2017), pp. 135–153DOI 10.4171/RSMUP/137-7