Monodromy and local-global compatibility forl=p
نویسندگان
چکیده
منابع مشابه
LOCAL - GLOBAL COMPATIBILITY FOR l
We prove the compatibility of the local and global Langlands correspondences at places dividing l for the l-adic Galois representations associated to regular algebraic conjugate self-dual cuspidal automorphic representations of GLn over an imaginary CM field, under the assumption that the automorphic representations have Iwahori-fixed vectors at places dividing l and have Shin-regular weight. 2...
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This paper is a continuation of [HT]. Let L be an imaginary CM field and let Π be a regular algebraic (i.e., Π∞ has the same infinitesimal character as an algebraic representation of the restriction of scalars from L to Q of GLn) cuspidal automorphic representation of GLn(AL) which is conjugate self-dual (Π ◦ c ∼= Π∨) and square integrable at some finite place. In [HT] it is explained how to at...
متن کاملLOCAL - GLOBAL COMPATIBILITY FOR l = p , II
We prove the compatibility at places dividing l of the local and global Langlands correspondences for the l-adic Galois representations associated to regular algebraic essentially (conjugate) self-dual cuspidal automorphic representations of GLn over an imaginary CM or totally real field. We prove this compatibility up to semisimplification in all cases, and up to Frobenius semisimplification i...
متن کاملLocal to Global Compatibility on the Eigencurve
We generalise Coleman’s construction of Hecke operators to define an action of GL2(Ql) on the space of finite slope overconvergent p-adic modular forms (l 6= p). In this way we associate to any Cp-valued point on the tame level N Coleman-Mazur eigencurve an admissible smooth representation of GL2(Ql) extending the classical construction. Using the Galois theoretic interpretation of the eigencur...
متن کاملLie Local Subgroupoids And Their Monodromy
is the identity on objects so that the latter holonomy groupoid is a quotient of the mon-odromy groupoid. We note also that these Lie groupoids are not etale groupoids. This is one of the distinctions between the direction of this work and that of Kock and Moerdijk 11, 12]. Remark 4.12 The above results also include the notion of a Lie local equivalence relation, and a strong monodromy principl...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2014
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2014.8.1597