CORDIS Project
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This project investigates the Birch–Swinnerton-Dyer conjecture, a key problem in mathematics related to elliptic curves, which are crucial for cryptography. It applies Iwasawa theory to explore the conjecture at the prime number two, aiming to bridge gaps in current understanding and extend classical methods to include…
The Birch–Swinnerton-Dyer conjecture is a Millenium Prize Problem and is unquestionably one of the most important open problems in mathematics.
It concerns elliptic curves E, which are indispensable in today’s society as they are extensively used in the form of cryptography.
Iwasawa theory proved to be an extremely powerful tool in modern number theory, and it serves as a bridge between the two mysterious mathematical objects appearing in the conjecture (the Tate–Shafarevich group and the comple…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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