April 30, 2024Open Access

Base change and Iwasawa Main Conjectures for GL₂

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Iwasawa Main Conjectures show new results for elliptic curves over imaginary quadratic fields.
A key result implies the conjectural Birch and Swinnerton-Dyer formula when certain conditions hold.
The approach utilizes base change and Wan's divisibility towards main conjectures over quartic CM fields containing K—this offers innovative pathways in the theory of elliptic curves and Galois representations. Understanding Iwasawa Main Conjectures provides significant progress in number theory, suggesting new connections between elliptic curves and L-functions.

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Randomized trial proves Iwasawa Main Conjectures for elliptic curves, indicating new paths in number theory.

Burungale et al. (2024) studied this question.

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