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Categorical local Langlands and torsion classes of some Shimura varieties

math.NT · 2025-05-15 · conditional · novelty 6.0

For GL_n over unramified p-adic fields, the paper proves the strongly generic part of the categorical local Langlands conjecture with F_l coefficients and derives Harris-Viehmann type identities and torsion vanishing for type A Shimura varieties.

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  • Categorical local Langlands and torsion classes of some Shimura varieties math.NT · 2025-05-15 · conditional · none · ref 3

    For GL_n over unramified p-adic fields, the paper proves the strongly generic part of the categorical local Langlands conjecture with F_l coefficients and derives Harris-Viehmann type identities and torsion vanishing for type A Shimura varieties.