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
[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