3 papers
math.NT2026
On the Iwasawa invariants of Kato's zeta elements for modular forms
Chan-Ho Kim, Jaehoon Lee, Gautier Ponsinet
We study the behavior of the Iwasawa invariants of the Iwasawa modules which appear in Kato's main conjecture without -adic -functions under congruences. It generalizes the w…
math.NT2025
On a characterisation of perfectoid fields by Iwasawa theory
Gautier Ponsinet
We prove that the vanishing of the module of universal norms associated with a de Rham Galois representation whose Hodge-Tate weights are not all non-positive characterises the alg…
math.NT2024
Bloch-Kato groups over perfectoid fields and Galois theory of -adic periods
Gautier Ponsinet
We relate the structure of the Bloch-Kato groups associated with a de Rham Galois representation over a perfectoid field to the Galois theory of the ring …