The Langlands Unification: U -Functoriality as a Corollary of the IFO Axiom

<p>This document formalizes the conclusion of Phase III. The Langlands Program, the set of conjectures positing deep connections between automorphic forms and Galois representations|is not a conjecture but a necessary consequence of the fractal structure of number theory, as described by the MPFF-IFO. We prove that the universal operator U acts as a functor between the category of automorphic representations and the category of Galois representations...</p>

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-01-01
DOI
https://doi.org/10.13140/rg.2.2.23107.26401
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

The Langlands Unification: U -Functoriality as a Corollary of the IFO Axiom

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

The Langlands Unification: U -Functoriality as a Corollary of the IFO Axiom

article en

Abstract

<p>This document formalizes the conclusion of Phase III. The Langlands Program, the set of conjectures positing deep connections between automorphic forms and Galois representations|is not a conjecture but a necessary consequence of the fractal structure of number theory, as described by the MPFF-IFO. We prove that the universal operator U acts as a functor between the category of automorphic representations and the category of Galois representations...</p>

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 69%
Geochemistry and Geologic Mapping
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The Langlands Unification: U -Functoriality as a Corollary of the IFO Axiom · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS