Add to ORKGWe report on the computation of torsion in certain homology the-ories of congruence subgroups of SL(4, Z). Among these are the usual group cohomology, the Tate-Farrell cohomology, and the homology of the sharbly complex. All of these theories yield Hecke modules. We conjecture that the Hecke eigenclasses in these theories have attached Galois representations. The interpretation of our computations at the torsion primes 2,3,5 is explained. We provide evidence for our conjecture in the 15 cases of odd torsion that we found in levels 31
International audienceA particular case of Bergeron-Venkatesh's conjecture predicts that torsion cla...
ABSTRACT. We survey our joint work with Avner Ash and Mark McConnell that compu-tationally investiga...
We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manif...
We report on the computation of torsion in certain homology theories of congruence subgroups of SL(4...
AbstractWe report on the computation of torsion in certain homology theories of congruence subgroups...
We report on the computation of torsion in certain homology the-ories of congruence subgroups of SL(...
This Article is brought to you for free and open access by the Mathematics and Statistics at Scholar...
We extend the computations in [AGM11] to find the mod 2 homology in degree 1 of a congruence subgrou...
AbstractWe will prove that certain torsion classes in the cohomology of SL(2, O) give Galois represe...
For any prime number p, let Γn, p denote the congruence subgroup of SLn(ℤ) of level p, i.e. the kern...
We introduce a method for producing congruences between Hecke eigenclasses, possibly torsion, in the...
In a previous paper [3] we computed cohomology groups H5(..0(N),C), where ..0(N) is a certain congru...
We list here Hecke eigenvalues of several automorphic forms for congruence subgroups of SL(3; Z). To...
AbstractAlgorithms are presented which find a basis of the vector space of cuspidal cohomology of ce...
AbstractWe continue to study the cohomology of S-arithmetic groups by looking at the cohomology on t...
International audienceA particular case of Bergeron-Venkatesh's conjecture predicts that torsion cla...
ABSTRACT. We survey our joint work with Avner Ash and Mark McConnell that compu-tationally investiga...
We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manif...
We report on the computation of torsion in certain homology theories of congruence subgroups of SL(4...
AbstractWe report on the computation of torsion in certain homology theories of congruence subgroups...
We report on the computation of torsion in certain homology the-ories of congruence subgroups of SL(...
This Article is brought to you for free and open access by the Mathematics and Statistics at Scholar...
We extend the computations in [AGM11] to find the mod 2 homology in degree 1 of a congruence subgrou...
AbstractWe will prove that certain torsion classes in the cohomology of SL(2, O) give Galois represe...
For any prime number p, let Γn, p denote the congruence subgroup of SLn(ℤ) of level p, i.e. the kern...
We introduce a method for producing congruences between Hecke eigenclasses, possibly torsion, in the...
In a previous paper [3] we computed cohomology groups H5(..0(N),C), where ..0(N) is a certain congru...
We list here Hecke eigenvalues of several automorphic forms for congruence subgroups of SL(3; Z). To...
AbstractAlgorithms are presented which find a basis of the vector space of cuspidal cohomology of ce...
AbstractWe continue to study the cohomology of S-arithmetic groups by looking at the cohomology on t...
International audienceA particular case of Bergeron-Venkatesh's conjecture predicts that torsion cla...
ABSTRACT. We survey our joint work with Avner Ash and Mark McConnell that compu-tationally investiga...
We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manif...