Program to prove categorical local Langlands conjecture via compatibility hypothesis for GL_n, induction on Levi subgroups for general groups, plus new spectral finiteness, duality, and admissible ind-coherent sheaf results.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Pullback along the Abel-Jacobi map over the twistor-P1 induces an equivalence on Picard groupoids, recovering archimedean local class field theory via Scholze's geometrisation framework.
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The categorical local Langlands conjecture
Program to prove categorical local Langlands conjecture via compatibility hypothesis for GL_n, induction on Levi subgroups for general groups, plus new spectral finiteness, duality, and admissible ind-coherent sheaf results.
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The Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory
Pullback along the Abel-Jacobi map over the twistor-P1 induces an equivalence on Picard groupoids, recovering archimedean local class field theory via Scholze's geometrisation framework.