Relational Iwasawa Theory and the arithmetic of conjugate-symplectic motives – TIWA-C-SYMPLE
This project has two goals, in the context of the study of the relations among algebraic cycles, Selmer groups, and p-adic L-functions. The first goal is to prove many more cases of the p-adic Beilinson-Bloch-Kato conjecture for higher rank motives (characterised by a conjugate-symplectic symmetry). The second goal is to chart an adequate and up-to-date conjectural framework (Relational Iwasawa theory) describing the precise relations among p-adic L-functions and Selmer groups, and to collect old and new evidence for it.
Project coordination
Daniel Disegni (Institut de Mathématiques de Marseille)
The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.
Partnership
I2M Institut de Mathématiques de Marseille
LMNO Université de Caen Normandie
LMB Université Franche-Comté Besançon
IMJ-PRG Centre national de la recherche scientifique
Massachussets Institute of Technology
Help of the ANR 188,509 euros
Beginning and duration of the scientific project:
December 2024
- 60 Months
