3 papers
math.NT2025
The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra
Olivier Fouquet
Modular motives have coefficients in Hecke algebras. According to the equivariant philosophy, special values of -functions of eigencuspforms should therefore exhibit equivariant…
math.NT2016
-adic properties of motivic fundamental lines (Kato's conjecture is (probably) false for (not so) trivial reasons)
Olivier Fouquet
We prove the conjectured compatibility of -adic fundamental lines with specializations at motivic points for a wide class of -adic families of -adic Galois representations…
math.NT2016
The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in Hecke algebras
Olivier Fouquet
Under mild hypotheses on the residual representation, we prove the Equivariant Tamagawa Number Conjecture for modular motives with coefficients in universal deformation rings and H…