Displaying similar documents to “p-adic deformations of cohomology classes of subgroups of GL (N,Z).”

On non-commutative twisting in étale and motivic cohomology

Jens Hornbostel, Guido Kings (2006)

Annales de l’institut Fourier

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This article confirms a consequence of the non-abelian Iwasawa main conjecture. It is proved that under a technical condition the étale cohomology groups H 1 ( 𝒪 K [ 1 / S ] , H i ( X ¯ , p ( j ) ) ) , where X Spec 𝒪 K [ 1 / S ] is a smooth, projective scheme, are generated by twists of norm compatible units in a tower of number fields associated to H i ( X ¯ , p ( j ) ) . Using the “Bloch-Kato-conjecture” a similar result is proven for motivic cohomology with finite coefficients.

p -adic ordinary Hecke algebras for GL ( 2 )

Haruzo Hida (1994)

Annales de l'institut Fourier

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We study the p -adic nearly ordinary Hecke algebra for cohomological modular forms on G L ( 2 ) over an arbitrary number field F . We prove the control theorem and the independence of the Hecke algebra from the weight. Thus the Hecke algebra is finite over the Iwasawa algebra of the maximal split torus and behaves well under specialization with respect to weight and p -power level. This shows the existence and the uniqueness of the (nearly ordinary) p -adic analytic family of cohomological Hecke...