Conductors of $\ell $-adic representations
نویسندگان
چکیده
منابع مشابه
Fast algorithms for ell-adic towers over finite fields
Inspired by previous work of Shoup, Lenstra-De Smit and Couveignes-Lercier, we give fast algorithms to compute in (the first levels of) the l-adic closure of a finite field. In many cases, our algorithms have quasi-linear complexity.
متن کاملRECOVERING l - ADIC REPRESENTATIONS
We consider the problem of recovering l-adic representations from a knowledge of the character values at the Frobenius elements associated to l-adic representations constructed algebraically out of the original representations. These results generalize earlier results in [Ra] concerning refinements of strong multiplicity one for l-adic represntations, and a result of Ramakrishnan [DR] recoverin...
متن کاملTORSION p-ADIC GALOIS REPRESENTATIONS
Let p be a prime, K a finite extension of Qp and T a finite free Zp-representation of Gal(K̄/K). We prove that T ⊗Zp Qp is semi-stable (resp., crystalline) with Hodge-Tate weights in {0, . . . , r} if and only if for all n, T/pnT is torsion semi-stable (resp., crystalline) with Hodge-Tate weights in {0, . . . , r}. Résumé. (Représentations galoisiennnes p-adiques de torsion) Soient p un nombre p...
متن کاملModular Forms and - adic Representations ∗
the circumstance that L-functions can be introduced not only in the context of automorphic forms, with which he has had some experience, but also in the context of diophantine geometry. That this circumstance can be the source of deep problems was, I believe, first perceived by E. Artin. He was, to be sure, concerned with forms on GL(1) and with varieties of dimension 0. This remains the only c...
متن کامل`-adic representations from Hurwitz spaces
The Hurwitz space approach to the regular Inverse Galois Problem was the only successful approach to Galois group realizations beyond nilpotent groups. It gave regular realizations of many series of groups. More significantly, the M(odular) T(ower) program identified obstructions to systematically finding regular realizations. Finding a way around those obstructions generalize renown results on...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2015
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/12880