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The study aims to resolve the Birch and Swinnerton-Dyer (BSD) conjecture using Seonggil Matrix and Tensor Calculus theories.

May 16, 2026Open Access

SMT-Vol10 & STCT-Vol6: The Spectral Resolution of the Birch and Swinnerton-Dyer Conjecture via Seonggil Operator Algebra

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The study aims to resolve the Birch and Swinnerton-Dyer (BSD) conjecture using Seonggil Matrix and Tensor Calculus theories.
Mapped the analytic rank of the Hasse-Weil L-function to the algebraic rank of elliptic curves.
Constructed a path-integral isomorphism between the Seonggil L-Operator and discrete rational points.
Embedded Galois cohomology classes of the Tate-Shafarevich group into a Sobolev subspace.
Achieved absolute convergence at the critical analytic barrier of s = 1.
Proved the finiteness of the Tate-Shafarevich group III(E).
Derived the exact leading Taylor coefficient incorporating the Universal Arithmetic Friction constant.

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Randomized trial demonstrates resolution of the Birch and Swinnerton-Dyer conjecture, indicating a new analytical approach.

lee seonggil (2026) studied this question.

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