10 citations · 24 across the 12 of their papers we have counts for
15 papers
On Serre's modularity conjecture for 2-dimensional mod p representations of G_Q unramified outside p
Chandrashekhar Khare
We prove the level 1 case of Serre's conjecture.
On Serre's reciprocity conjecture for 2-dimensional mod p representations of the Galois group of Q
Chandrashekhar Khare, Jean-Pierre Wintenberger
We first prove the existence of minimally ramified p-adic lifts of 2-dimensional mod p representations, that are odd and irreducible, of the absolute Galois group of Q,in many case…
Converging sequences of p-adic Galois representations and density theorems
Joel Bellaiche, Gaetan Chenevier, Chandrashekhar Khare +1
We consider limits of p-adic Galois representations, study different notions of convergence for such representations, and prove Cebotarev-type density theorems for them.
Transcendental l-adic Galois representations
Chandrashekhar Khare, Michael Larsen, Ravi Ramakrishna
We consider continuous representations of the Galois group G of a number field K taking values in the completion C of an algebraic closure A of the field of l-adic numbers. We give…
Reciprocity law for compatible systems of abelian mod Galois representations
Chandrashekhar Khare
The main result of the paper is a reciprocity law which proves that compatible systems of semisimple, abelian mod representations (of arbitrary dimension) of absolute Galois gr…
Constructing semisimple p-adic Galois representations with prescribed properties
Chandrashekhar Khare, Michael Larsen, Ravi Ramakrishna
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 prim…