Lattices in potentially semi-stable representations and weak (\varphi ,\hat{G})-modules
نویسندگان
چکیده
منابع مشابه
Filtered Modules Corresponding to Potentially Semi-stable Representations
We classify the filtered modules with coefficients corresponding to two-dimensional potentially semi-stable p-adic representations of the Galois groups of p-adic fields under the assumptions that p is odd and the coefficients are large enough. Introduction Let p be an odd prime number, and let K be a p-adic field. The absolute Galois group of K is denoted by GK . By the fundamental theorem of C...
متن کاملA Note on Lattices in Semi-stable Representations
Let p be a prime, K a finite extension overQp and G := Gal(K/K). We extend Kisin’s theory on φ-modules of finite E(u)-height to give a new classification of G-stable Zp-lattices in semi-stable representations.
متن کاملPotentially Semi-stable Deformation Rings
LetK/Qp be a finite extension and GK = Gal(K̄/K) the Galois group of an algebraic closure K̄. Let F be a finite field of characteristic p, and VF a finite dimensional F-vector space equipped with a continuous action of GK . The study of the deformation theory of Galois representations was initiated by Mazur [Ma], who showed that if VF has no non-trivial endomorphisms, then it admits a universal d...
متن کاملQuasi-semi-stable representations
Fix K a p-adic field and denote by GK its absolute Galois group. Let K∞ be the extension of K obtained by adding p-th roots of a fixed uniformizer, and G∞ ⊂ GK its absolute Galois group. In this article, we define a class of p-adic torsion representations of G∞, named quasi-semi-stable. We prove that these representations are “explicitly” described by a certain category of linear algebra object...
متن کاملAlgebraic Families of Galois Representations and Potentially Semi-stable Pseudodeformation Rings
We construct and study the moduli of continuous representations of a profinite group with integral p-adic coefficients. We present this moduli space over the moduli space of continuous pseudorepresentations and show that this morphism is algebraizable. When this profinite group is the absolute Galois group of a p-adic local field, we show that these moduli spaces admit Zariski-closed loci cutti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2017
ISSN: 1246-7405,2118-8572
DOI: 10.5802/jtnb.977