Constructs an equivalence for torsion coefficients between Zhu's category and Fargues-Scholze's category via Scholze's analytification functor and kimberlite theory, with applications to BunG decompositions and local Shimura varieties.
Dualizing complexes on the moduli of parabolic bundles , ISSN=
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Provides spectral description of central torus convolution actions and shows the ℓ-adic categorical Langlands conjecture passes to quotients by central tori in char 0 and for Langlands-Shahidi parameters in all char, extending to PGL_n.
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On the Schematic and Analytic Constructions of the Local Langlands Category
Constructs an equivalence for torsion coefficients between Zhu's category and Fargues-Scholze's category via Scholze's analytification functor and kimberlite theory, with applications to BunG decompositions and local Shimura varieties.
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On the action of the center in the $\ell$-adic categorical Langlands program
Provides spectral description of central torus convolution actions and shows the ℓ-adic categorical Langlands conjecture passes to quotients by central tori in char 0 and for Langlands-Shahidi parameters in all char, extending to PGL_n.