Search Results - "Ash, Avner"

Highly reducible Galois representations attached to the homology of \mathrm{GL}(n,\mathbb{Z}) by Ash, Avner, Doud, Darrin

“…Let n\ge 1 and \mathbb{F} be an algebraic closure of a finite field of characteristic p>n+1. Let \rho :G_{\mathbb{Q}}\to \mathrm {GL}(n,\mathbb{F}) be a Galois…”
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On the cohomology of SL n ( Z ) by Ash, Avner

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On the cohomology of SLn(Z) by Ash, Avner

“…Denote the virtual cohomological dimension of SLn(Z) by νn=n(n−1)/2. Let St denote the Steinberg module of SLn(Q) tensored with Q. Let Sh•→St denote the…”
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Set-theoretic Hida projectors by Ash, Avner

“…In his work on ordinary p-adic modular forms, Hida defined certain idempotents in any commutative algebra of finite rank over the ring of integers in a finite…”
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The Lyndon-Hochschild-Serre spectral sequence for a parabolic subgroup of GL n ( Z ) by Ash, Avner, Doud, Darrin

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Cohomology of congruence subgroups of {SL}_4(\mathbb {Z}). III by Ash, Avner, Gunnells, Paul E., McConnell, Mark

“…In two previous papers we computed cohomology groups H^{5}(\Gamma _{0} (N); \mathbb {C}) for a range of levels~N, where \Gamma _{0} (N) is the congruence…”
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Cohomology of congruence subgroups of SL3(Z), Steinberg modules, and real quadratic fields by Ash, Avner, Yasaki, Dan

“…We investigate the homology of a congruence subgroup Γ of SL3(Z) with coefficients in the Steinberg modules St(Q3) and St(E3), where E is a real quadratic…”
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Cohomology of congruence subgroups of SL 3 ( Z ) , Steinberg modules, and real quadratic fields by Ash, Avner, Yasaki, Dan

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Steinberg homology, modular forms, and real quadratic fields by Ash, Avner, Yasaki, Dan

“…We compare the homology of a congruence subgroup Γ of GL2(Z) with coefficients in the Steinberg modules over Q and over E, where E is a real quadratic field…”
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Lattice-Packing by Spheres and Eutactic Forms by Ash, Avner, Gross, Robert

“…We consider a semi-random walk on the space X of lattices in Euclidean n-space which attempts to maximize the sphere-packing density function Φ. A lattice (or…”
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Monomial Galois representations and Hecke eigenclasses in the mod- p cohomology of $GL((p-1),\mathbb{Z}) by Ash, Avner

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Galois representations attached to tensor products of arithmetic cohomology by Ash, Avner, Doud, Darrin

“…We compute the action of Hecke operators on tensor products of cohomology classes of lower congruence subgroups of SL(n,Z) in trivial weight. We use this…”
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Direct Sums of Mod p Characters of Gal and the Homology of GL(n, ℤ) by Ash, Avner

“…We prove the following theorem: Let be an algebraic closure of a finite field of characteristic p. Let ρ be a continuous homomorphism from the absolute Galois…”
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HIGHLY REDUCIBLE GALOIS REPRESENTATIONS ATTACHED TO THE HOMOLOGY OF GL(n, ℤ) by ASH, AVNER, DOUD, DARRIN

“…Let n ≥ 1 and 𝔽 be an algebraic closure of a finite field of characteristic p > n + 1. Let ρ : Gℚ → GL(n, 𝔽) be a Galois representation that is isomorphic to…”
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Even Galois representations and the cohomology of GL(2,Z) by Ash, Avner, Doud, Darrin

“…Let ρ be an even two-dimensional representation of the Galois group Gal ( Q ¯ / Q ) which is induced from a character χ of odd order of the absolute Galois…”
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Even Galois representations and the cohomology of $$\mathrm{GL}(2,\mathbb Z)$$ GL ( 2 , Z ) by Ash, Avner, Doud, Darrin

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Hecke Operators and the Stable Homology of GL(n) by Ash, Avner

“…Let R be a field of any characteristic and A a principal ideal domain. We make a conjecture that asserts that any Hecke operator T acts punctually on any Hecke…”
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Reducible Galois Representations and the Homology of GL(3, ℤ) by Ash, Avner, Doud, Darrin

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On the cohomology of SL$_n(\mathbb{Z}) by Ash, Avner

“…Let St denote the Steinberg module of $SL_n(Q)$ tensored with Q. Let Sh denote the sharbly resolution of St. By Borel-Serre duality,…”
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Galois representations and Hecke operators associated with the mod p cohomology of GL(1,\mathbb{Z}) and GL(2,\mathbb{Z}) by Ash, Avner

“…We prove that any Hecke eigenclass in the mod p cohomology of a congruence subgroup of GL(1,\mathbb{Z}) or GL(2,\mathbb{Z}) has attached to it a mod p Galois…”
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