P adic galois representation
WebOct 26, 2016 · harder. We follow Section 1 of Fontaine and Ouyang’s book Theory of p-adic Galois representations. 1 Examples Let K be a field, and GK = Gal(Ksep/K). An ‘-adic … WebJul 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 …
P adic galois representation
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Weba 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 … 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 ...
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. WebSep 26, 2024 · In this setting, called Galois cohomology, you have a cohomological functor in the sense of the recap above, and it works perfectly, as shown by the cohomological version of CFT. You ask about the p -adic topology when L / K is infinite, but this is not natural at all. For example, if L = K n r, the maximal unramified extension of K, it is ...
Webp (F p)). The punch line is that the reduction map (1) T ‘(E) !T ‘(E Fp ) is an isomorphism of Qp -representations, where the right hand side is a Qp -representation via the surjection Qp … WebNov 13, 2014 · If an irreducible component of the spectrum of the ‘big’ ordinary Hecke algebra does not have complex multiplication, under mild assumptions, we prove that the image of its Galois representation contains, up to finite error, a principal congruence subgroup Γ ( L) of SL 2 ( Z p [ [ T]]) for a principal ideal ( L) ≠ 0 of Z p [ [ T]] for ...
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.
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) penny\u0027s searcy arWebFor -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- toca boca spelen op pcWebby di erent methods, using p-adic families. We further study the local Galois representation at p for nonregular holomorphic Siegel modular forms. Then we apply the results to the … penny\\u0027s shWebSep 29, 2024 · Admissible p-adic Lie extension abelian variety p-adic Galois representation fine Selmer group Iwasawa invariants. MSC classification. Primary: 11R23: Iwasawa … penny\\u0027s seat covers oremWebHeights 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 of the rationals comes from a modular form. This admits a natural generalization to totally real fields, but even the real quadratic case seems completely out of reach penny\u0027s seat covers oremWebA 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 toca boca sticker kitabıWebJul 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 . toca boca story nederlands