23 citations · 88 across the 21 of their papers we have counts for
21 papers
On the cohomology of SL
Avner Ash
Let St denote the Steinberg module of tensored with Q. Let Sh denote the sharbly resolution of St. By Borel-Serre duality, is isomorphic to $H…
Explicit sharbly cycles at the virtual cohomological dimension for SL_n(Z)
Avner Ash, Paul E. Gunnells, Mark McConnell
Denote the virtual cohomological dimension of SL_n(Z) by t=n(n-1)/2. Let St denote the Steinberg module of SL_n(Q) tensored with Q. Let Sh_* denote the sharbly resolution of the St…
Cohomology of congruence subgroups of SL_3(Z), Steinberg modules, and real quadratic fields
Avner Ash, Dan Yasaki
We investigate the homology of a congruence subgroup Gamma of SL_3(Z) with coefficients in the Steinberg modules St(Q^3) and St(E^3), where E is a real quadratic field and the coef…
Steinberg homology, modular forms, and real quadratic fields
Avner Ash, Dan Yasaki
We compare the homology of a congruence subgroup Gamma of GL_2(Z) with coefficients in the Steinberg modules over Q and over E, where E is a real quadratic field. If R is any commu…
Cohomology with twisted one-dimensional coefficients for congruence subgroups of SL(4,Z) and Galois representations
Avner Ash, Paul E. Gunnells, Mark McConnell
We extend the computations in [AGM1, AGM2, AGM3] to find the cohomology in degree five of a congruence subgroup Gamma of SL(4,Z) with coefficients in a field K, twisted by a nebent…
Homological vanishing for the Steinberg representation
Avner Ash, Andrew Putman, Steven V Sam
For a field , we prove that the th homology of the groups , , , , and with coefficients in their Steinberg represen…