site stats

P adic galois representation

WebJan 21, 2024 · p-adic Hodge theory is the study of properties of p-adic (étale, de Rham, logarithmic cristalline) cohomology (and motives) of non-archimedean analytic spaces. ... We can abstract the concepts discussed above and take a p-adic Galois representation V V (without knowing, say, if it comes from some cohomology theory). We can then define ... Webthe existence of a compatible system of p-adic Galois representations ρ : Gal(Q/Q) → LG(E ⊗Q p). Here E is the center of EndH(N), which is either totally real or a CM-field. The representation ρ should be unramified at all primes ℓ 6= p where Kℓ is hyperspecial, and the semi-simple part of ρ(Frobℓ)

Fine Selmer groups of congruent p -adic Galois representations

WebSep 29, 2024 · Admissible p-adic Lie extension abelian variety p-adic Galois representation fine Selmer group Iwasawa invariants. MSC classification. Primary: 11R23: Iwasawa … WebLet K∞/K be an admissible p-extension, and let V be a p-adic Galois representation with Galois invariant lattice T. We assume that there exist only finitely many primes at which V is ramified, that p−1T/T is defined over K, and that K contains a primitive p-th root of unity. If the µ-invariant of K∞/K vanishes and if no prime of K ... harmony feed and tack eatonton ga https://giovannivanegas.com

[1912.11265] Adjoint Selmer groups of automorphic Galois ...

http://www-personal.umich.edu/~ahorawa/math_679_p-adic_Hodge.pdf WebNov 13, 2014 · p-adic L-function Hecke algebra Galois representation Galois deformation MSC classification Primary: 11F11: Holomorphic modular forms of integral weight 11F25: … WebJan 7, 2011 · The representation theory of reductive p-adic groups is pretty self-contained. Start reading (Bump, Cartier, Casselman, DeBacker, Murnaghan, Prasad/Raghuram are fine notes, off the top of my head), and it should be clear if you are missing anything. B R. Jan 9, 2011 at 19:24. But what are the prerequisites for learning Godement's notes on ... chapel hill non emergency number

Galois representations attached to newforms - MathOverflow

Category:Galois Representations - Stanford University

Tags:P adic galois representation

P adic galois representation

p-ADIC FAMILIES OF MODULAR FORMS Matthew EMERTON …

Webl is 2g dimensional l-adic Galois representation. Let p be a prime and G p a decomposition group at p. We may identify G p with the local Galois group Gal(Q¯ p/Q p) at p. We always … Webcoarse version of a p-adic local Langlands correspondence. To better understand this coarseness on the “representation-theoretic” side, re-call that to a Galois representation V of the type described above we associate a simple module Kζ for the completion B(G,ρ U0) of the spherical Hecke alge-bra.

P adic galois representation

Did you know?

WebJul 4, 2024 · Hence we get a 1-dimensional p-adic representation of the absolute Galois group of Q χ p : G Q − → GL 1 ( Q p ) This map χ p is known as the p -adic cyclotomic char acter . WebSep 29, 2024 · Admissible p-adic Lie extension abelian variety p-adic Galois representation fine Selmer group Iwasawa invariants. MSC classification. Primary: 11R23: Iwasawa theory Type Article. Information Canadian Mathematical Bulletin, Volume 65, Issue 3, September 2024, pp. 702 - 722.

WebWelcome to the LMFDB, the database of L-functions, modular forms, and related objects. These pages are intended to be a modern handbook including tables, formulas, links, and references for L-functions and their underlying objects. WebWe study the intimate interactions between the theory of p -adic Galois representations and the structure of pro- p Galois groups. In particular, information passes in both directions. …

http://staff.ustc.edu.cn/~yiouyang/galoisrep.pdf WebHeights and p-adic Hodge Theory. ... Serre's conjecture, proved by Khare and Wintenberger, states that every odd two dimensional mod p representation of the absolute Galois group …

WebInside the absolute Galois group G K of a p adic eld K such as Q p, we have distinguished subgroups, namely the inertia and the wild inertia subgroup. In turns out that for ‘6= p, the …

Webnumber field Q gives rise to an -adic representation of the absolute Galois group GQ of Q. To study such an -adic representation, it is common to in-vestigate its restriction to the decomposition group at each prime number p. The purpose of this article is to survey our knowledge on the restrictions at various primes. harmony federal credit unionWebK = Gal(K=K ), the absolute Galois group of K, then we call such a representation a Galois representation and if Fis algebraic over Q ‘then we call it an ‘-adic Galois representation. 2 … chapel hill north surgery centerhttp://staff.ustc.edu.cn/~yiouyang/galoisrep.pdf harmony feed and tackWeba finite Galois extension of Q—any continuous representation of G Q on a complex vector space Vacts through a finite quotient. We get a richer theory if we consider the action of … chapel hill north apartmentsWebA rst glimpse of p-adic Hodge theory. 1.1.1. The arithmetic perspective. We start with an arithmetic perspective. The goal is to study p-adic representations, i.e. continuous representations K= Gal(K=K) !GL n(Q p) where Kis a p-adic eld. This is quite di erent from studying ‘-adic representations, i.e. continuous representations K!GL n(Q harmony feed storeWebFor -adic Galois representation of degree 2, we expect to have (cf. [13]) a similar equality {odd “geometric” -adic representation of G of degree 2 of distinct Hodge-Tate weight} = {-adic representation associated to modular form of weight at least 2}, up to twist by a power of the cyclotomic character. In other words, the Galois repre- harmony fcu routing numberWebJul 6, 2024 · J.-M. Fontaine, Y. Ouyang. Theory of p -adic Galois representations. O. Brinon, B. Conrad. CMI summer school notes on p -adic Hodge theory. Lecture 1 To familiarize … harmony federal credit union online banking