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arXiv · 1604.06411

The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in Hecke algebras

Olivier Fouquet
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Abstract

Under mild hypotheses on the residual representation, we prove the Equivariant Tamagawa Number Conjecture for modular motives with coefficients in universal deformation rings and Hecke algebras using a novel combination of the methods of Euler systems and Taylor-Wiles systems. We also prove the compatibility of this conjecture with specialization.

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Olivier Fouquet. 2016-04-21. The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in Hecke algebras. https://arxiv.org/abs/1604.06411

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