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The research aims to establish a coherent Springer to categorical Langlands framework for finite groups of Lie type.

February 26, 2026Open Access

Modular Coherent Springer Theory and Categorical Langlands for Finite Groups

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The research aims to establish a coherent Springer to categorical Langlands framework for finite groups of Lie type.
Develop a coherent Springer → categorical Langlands bridge using a three-axiom generator package.
Construct detailed examples for type A groups like GL_n(F_q) and analyze G=Sp_4(F_q) under specific conditions.
Examine compatibility of algebraic structures with Hopf comultiplication.
Demonstrated monoidal integral-transform equivalences between certain module categories.
Established a t-exact spectral identification revealing block decompositions in non-type-A cases.
Outlined conditional and unconditional dependencies for various theoretical aspects.

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Implication

This preprint develops a theory connecting categorical Langlands to coherent Springer sheaves for finite groups, indicating new mathematical insights.

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Matthew Eltgroth (2026) studied this question.

synapsesocial.com/papers/699fe3d995ddcd3a253e7e0e https://doi.org/10.5281/zenodo.18752297

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Implication

This preprint develops a theory connecting categorical Langlands to coherent Springer sheaves for finite groups, indicating new mathematical insights.

Modular Coherent Springer Theory and Categorical Langlands for Finite Groups

Key Points

Discussion

Implication

Cite This Study

Modular Coherent Springer Theory and Categorical Langlands for Finite Groups

Key Points

Discussion

Implication

Cite This Study

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