4 papers · 1 filter
A_6-extensions of Q and the mod p cohomology of GL(3,Z)
Avner Ash, David Pollack, Warren Sinnott
We present six examples of 3-dimensional mod p Galois representations of type A_6 for which we were able to obtain computational evidence for the generalization of Serre's Conjectu…
Galois representations with conjectural connections to arithmetic cohomology
Avner Ash, Darrin Doud, David Pollack
In this paper we extend a conjecture of Ash and Sinnott relating niveau one Galois representation to the mod p cohomology of congruence subgroups of SL(n,Z) to include Galois repre…
Cohomology of congruence subgroups of SL(4,Z)
Avner Ash, Paul E. Gunnells, Mark McConnell
Let be an integer, and let $Γ= Γ_0 (N) \subset \SL_4 (\Z)$ be the subgroup of matrices with bottom row congruent to . We compute $H^5 (Γ; \C) $ for a range o…
An analogue of Serre's conjecture for Galois representations and Hecke eigenclasses in the mod-p cohomology of GL(n,Z)
Avner Ash, Warren Sinnott
The conjecture of Serre referred in the title is the one about modularity of odd Galois representations into GL(2,F) where F is a finite field of characteristic p. We present an an…