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.
Categorical local langlands for GL n for parameters of Langlands–Shahidi type with integral coefficients
2 Pith papers cite this work. Polarity classification is still indexing.
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A result is established about the non-generic cohomology of certain compact unitary Shimura varieties for good p, extending Boyer's work via a different approach in the Fargues-Scholze context.
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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.