Compatible systems of mod $p$ Galois representations and Hecke characters
نویسندگان
چکیده
منابع مشابه
Galois Representations, Hecke Operators, and the mod-p Cohomology of GL(3, Z) with Twisted Coefficients
1991 Mathematics Subject Classi cation. Primary: 11F75. Secondary: 11F67, 12F12.
متن کاملGalois Representations, Hecke Operators, and the mod-p Cohomology of GL(3, ZZ) with Twisted Coefficients
1991 Mathematics Subject Classi cation. Primary: 11F75. Secondary: 11F67, 12F12.
متن کاملBanach-Hecke Algebras and p-Adic Galois Representations
In this paper, we take some initial steps towards illuminating the (hypothetical) p-adic local Langlands functoriality principle relating Galois representations of a p-adic field L and admissible unitary Banach space representations of G(L) when G is a split reductive group over L. 2000 Mathematics Subject Classification: 11F80, 11S37, 22E50
متن کاملAN ANALOGUE OF SERRE’S CONJECTURE FOR GALOIS REPRESENTATIONS AND HECKE EIGENCLASSES IN THE mod p COHOMOLOGY OF GL(n,Z)
1. Introduction. Let p be a prime number and F an algebraic closure of the finite field F p with p elements. Let n and N denote positive integers, N prime to p. We are interested in representations ρ of the Galois group G Q = Gal(¯ Q/Q) into GL(n, F), unramified at all finite primes not dividing pN. (We shall say ρ is unramified outside pN.) In this paper, representation will always mean contin...
متن کاملGALOIS REPRESENTATIONS AND HECKE OPERATORS ASSOCIATED WITH THE MOD p COHOMOLOGY OF GL(1,Z) AND GL(2,Z)
We prove that any Hecke eigenclass in the mod p cohomology of a congruence subgroup of GL(1,Z) or GL(2,Z) has attached to it a mod p Galois representation such that the characteristic polynomial of a Frobenius element at a prime l equals the Hecke polynomial at l.
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: Mathematical Research Letters
سال: 2003
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2003.v10.n1.a8