Results 11 to 20 of about 178 (25)
Eisenstein Cohomology and ratios of critical values of Rankin-Selberg L-functions
, 2011 This is an announcement of results on rank-one Eisenstein cohomology of GL(N), with N > 1 an odd integer, and algebraicity theorems for ratios of successive critical values of certain Rankin-Selberg L-functions for GL(n) x GL(n') when n is even and n' is
Harder, Guenter, Raghuram, A.
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Automorphic forms and rational homology 3–spheres [PDF]
, 2006 We investigate a question of Cooper adjacent to the Virtual Haken Conjecture. Assuming certain conjectures in number theory, we show that there exist hyperbolic rational homology 3–spheres with arbitrarily large injectivity radius.
Calegari, Frank, Dunfield, Nathan M.
core +6 more sources
Shintani Cocycles on $\GL_{n}$
, 2007 The aim of this paper is to define an n-1-cocycle $\sigma$ on $\GL_{n}(\Q)$ with values in a certain space $\hD$ of distributions on $\A_f^{n}\setminus\{0\}$. Here $\A_f$ denotes the ring of finite ad\`{e}les of $\Q$, and the distributions take values in
Hill, Richard
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The mod 2 cohomology rings of congruence subgroups in the Bianchi groups [PDF]
, 2019 We provide new tools for the calculation of the torsion in the cohomology of congruence subgroups in the Bianchi groups : An algorithm for finding particularly useful fundamental domains, and an analysis of the equivariant spectral sequence combined with
Berkove, Ethan +4 more
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Multiple period integrals and cohomology
, 2015 This work gives a version of the Eichler-Shimura isomorphism with a non-abelian $H^1$ in group cohomology. Manin has given a map from vectors of cusp forms to a noncommutative cohomology set by means of iterated integrals.
Bruggeman, Roelof, Choie, YoungJu
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On lower bounds for cohomology growth in p-adic analytic towers
, 2013 Let p and l be two distinct prime numbers and let G be a group. We study the asymptotic behaviour of the mod-l Betti numbers in p-adic analytic towers of finite index subgroups.
Kionke, Steffen
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On the Eisenstein cohomology of odd orthogonal groups
, 2011 The paper investigates a significant part of the automorphic, in fact of the so-called Eisenstein cohomology of split odd orthogonal groups over Q. The main result provides a description of residual and regular Eisenstein cohomology classes for maximal ...
Borel +18 more
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Boundary and Eisenstein Cohomology of $\mathrm{SL}_3(\mathbb{Z})$
, 2020 In this article, several cohomology spaces associated to the arithmetic groups $\mathrm{SL}_3(\mathbb{Z})$ and $\mathrm{GL}_3(\mathbb{Z})$ with coefficients in any highest weight representation $\mathcal{M}_\lambda$ have been computed, where $\lambda ...
Bajpai, Jitendra +3 more
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Perfect forms over totally real number fields [PDF]
, 2009 A rational positive-definite quadratic form is perfect if it can be reconstructed from the knowledge of its minimal nonzero value m and the finite set of integral vectors v such that f(v) = m.
Gunnells, Paul E., Yasaki, Dan
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Modular forms and elliptic curves over the field of fifth roots of unity [PDF]
, 2010 Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of elliptic curves over F.Comment: Added appendix by Mark Watkins, who found an elliptic curve missing from our ...
Gunnells, Paul E. +2 more
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