4. Birch and Swinnerton-Dyer Conjecture
The Birch and Swinnerton-Dyer Conjecture explores the deep properties of elliptic curves, which are at the heart of modern cryptography. A definitive solution would allow attackers to break widely used encryption schemes, threatening the confidentiality of financial transactions, communications, and digital identities worldwide. Discover more about this conjecture and its potential global impact.