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math.NT2026
The de Rham and the syntomic logarithm
Matthias Flach, Achim Krause, Baptiste Morin
We define and study an integral refinement of the inverse of the Bloch-Kato exponential map which we call the de Rham logarithm. Our main tool to analyze the de Rham logarithm is t…
math.NT2025
Adjoint motives of modular forms and the Tamagawa number conjecture
Fred Diamond, Matthias Flach, Li Guo
Let be a newform of weight , level with coefficients in a number field , and the adjoint motive of the motive associated to . We carefully discuss th…