Proof — Galois representations and modularity

Statement

Taylor (with Wiles et al.) proved modularity lifting theorems underpinning Fermat’s Last Theorem and the Langlands program for GL₂.

Formula

ρ̄ modular ⇒ ρ modular

Source

Canonical lineament aligned with TANAAKK IAS Faculty Emeriti index (2026); consult specialist monographs for full proofs.

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