Zobrazeno 1 - 10
of 12
pro vyhledávání: '"RAVI, RAMAKRISHNA"'
Publikováno v:
Journal of the London Mathematical Society. 103:250-287
We use Galois cohomology methods to produce optimal mod $p^d$ level lowering congruences to a $p$-adic Galois representation that we construct as a well chosen lift of a given residual mod $p$ representation. Using our explicit Galois cohomology meth
Autor:
Ravi Ramakrishna
Publikováno v:
Proceedings of Indian National Science Academy, Vol 45, Iss 5 (2014)
Let \(\bar \rho\) be a two-dimensional Fp-valued representation of the absolute Galois group of the rationals. Suppose \(\bar \rho\) is odd, absolutely irreducible and ordinary at p. Then we show that \(\bar \rho\) arises from the irreducible compone
Autor:
Ravi Ramakrishna, Chandrashekhar Khare
Publikováno v:
Forum of Mathematics, Sigma. 4
Autor:
Ravi Ramakrishna, Benjamin Lundell
Publikováno v:
Mathematical Research Letters. 18:59-73
In this note, we use the deformation theory of an absolutely irreducible Galois representation to study certain Hecke rings. Specifically, we investigate the variation in the rank of the new part of a completed Hecke ring as we vary the set of primes
Autor:
Ravi Ramakrishna
Publikováno v:
Canadian Journal of Mathematics. 60:208-221
Starting with a 2-dimensional mod p Galois representation, we construct a deformation to a power series ring in infinitely many variables over the p-adics. The image of this representation is full in the sense that it contains SL2 of this power serie
Autor:
Spencer Hamblen, Ravi Ramakrishna
Publikováno v:
American Journal of Mathematics. 130:913-944
We examine the deformation theory of two dimensional mod $p$ reducible indecomposable Galois representations, removing or relaxing many of the hypotheses of part I. We are able to prescribe local conditions on our deformations by allowing ramificatio
Autor:
Chandrashekhar Khare, Ravi Ramakrishna
Publikováno v:
Forum of Mathematics, Sigma. 3
Typos in the abstract have been corrected. Let $\rho_n$ be an ordinary weight two representation of absolute Galois group of the rationals to $GL_2(\mathcal O/\pi^n)$. Here $\mathcal O$ is a ramified DVR with uniformiser $\pi$. If $\rho_n$ satisfies
Publikováno v:
American Journal of Mathematics. 127:709-734
In this paper we show that two dimensional (mod p) Galois representations satisfying mild hypotheses can be lifted to p-adic Galois representations ramified at infinitely many primes such that the characteristic polynomials of Frobenius at a density
Publikováno v:
Mathematical Research Letters. 12:685-700
Autor:
Ravi Ramakrishna
Publikováno v:
Inventiones mathematicae. 138:537-562