Arboreal Galois representations and uniformization of polynomial dynamics
نویسندگان
چکیده
منابع مشابه
Arboreal Galois Representations
Let GQ be the absolute Galois group of Q, and let T be the complete rooted d-ary tree, where d ≥ 2. In this article we study “arboreal” representations of GQ into the automorphism group of T , particularly in the case d = 2. In doing so, we propose a parallel to the well-developed and powerful theory of linear p-adic representations of GQ. We first give some methods of constructing arboreal rep...
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15 صفحه اولThe Image of an Arboreal Galois Representation
Much is known regarding images of p-adic Galois representations coming from subquotients of étale cohomology groups of varieties over number fields. In particular, the Mumford-Tate conjecture gives them up to subgroups of finite index, and has been proved in many cases by Serre. In the analogous situation of arboreal Galois representations little is known. In this paper we give a conjectural de...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2012
ISSN: 0024-6093
DOI: 10.1112/blms/bds088