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This work aims to provide a comprehensive axiomatic framework detailing the interconnections within the Langlands Program.

July 3, 2026Open Access

The Grand Unification of Mathematics Langlands Correspondence, Endoscopic Transfer, Inverse Langlands Closure, and Unified Field Theory: A Six-Volume Axiomatic Study From Bijectivity in Class Field Theory, Injectivity in the Non-abelian Setting, Surjectivity onto Discrete Series via Inner Forms, Base Change Lifting, Spectral Classification, Stabilization of the Trace Formula, to the Ultimate Closure via Prime Mapping

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This work aims to provide a comprehensive axiomatic framework detailing the interconnections within the Langlands Program.
Presents a six-volume series covering various aspects of the Langlands Program.
Establishes multiple core results including bijectivity and injectivity of the correspondence for GL(n).
Lifts Langlands duality into a categorical equivalence framework.
Volume I establishes a bijective local and global Langlands correspondence for GL(1).
Volume VI proves every global L-parameter arises from a unique cuspidal automorphic representation.
Final closure equation unifies all six volumes within a complete axiom system.

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Six-volume axiomatic study establishes core results and unifies Langlands correspondence in mathematics, suggesting new insights.

子泰秦 (2026) studied this question.

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