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The categorical local Langlands conjecture

math.NT · 2026-05-31 · unverdicted · novelty 7.0

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.

Shape theory for condensed anima

math.AT · 2026-05-08 · unverdicted · novelty 4.0

Shape theory for condensed anima recovers classical shape for paracompact compactly generated and locally contractible spaces while extending sheaf-condensed cohomology comparisons.

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