Galois representations modulo p and cohomology of Hilbert modular varieties
نویسندگان
چکیده
منابع مشابه
GALOIS REPRESENTATIONS MODULO p AND COHOMOLOGY OF HILBERT MODULAR VARIETIES
The aim of this paper is to extend some arithmetic results on elliptic modular forms to the case of Hilbert modular forms. Among these results let’s mention : − the control of the image of the Galois representation modulo p [37][35], − Hida’s congruence criterion outside an explicit set of primes p [21], − the freeness of the integral cohomology of the Hilbert modular variety over certain local...
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On modular Galois representations modulo prime powers Chen, Imin; Kiming, Ian; Wiese, Gabor Published in: International Journal of Number Theory DOI: 10.1142/S1793042112501254 Publication date: 2013 Document Version Publisher's PDF, also known as Version of record Citation for published version (APA): Chen, I., Kiming, I., & Wiese, G. (2013). On modular Galois representations modulo prime power...
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The first part of this report describes the class of representations of Galois groups of number fields that have been attached to automorphic representations. The construction is based on the program for analyzing cohomology of Shimura varieties developed by Langlands and Kottwitz. Using p-adic methods, the class of Galois representations obtainable in this way can be expanded slightly; the lin...
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We prove the vanishing of the geometric Bloch–Kato Selmer group for the adjoint representation of a Galois representation associated to a Hilbert modular form under mild assumptions on the residual image. In particular, we do not assume the residual image satisfies the Taylor–Wiles hypothesis. Using this, we deduce that the localization and completion of the universal deformation ring for the r...
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ژورنال
عنوان ژورنال: Annales Scientifiques de l’École Normale Supérieure
سال: 2005
ISSN: 0012-9593
DOI: 10.1016/j.ansens.2005.03.005