10 citations · 32 across the 13 of their papers we have counts for
16 papers · 1 filter
Functoriality and the Inverse Galois problem II: groups of type B_n and G_2
Chandrashekhar Khare, Michael Larsen, Gordan Savin
For every finite field F and every positive integer r, there exists a finite extension F' of F such that either SO(2r+1,F') or its simple derived group can be realized as a Galois…
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…