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Geometrization of the local Langlands correspondence: an overview
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This article is an overview of the geometrization conjecture for the local Langlands correspondence formulated by the author.
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Cited by 2 Pith papers
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Igusa Stacks and the Cohomology of Shimura Varieties
Constructs functorial Igusa stacks for Hodge-type Shimura varieties, yielding a sheaf on Bun_G that controls cohomology and proves compatibility with the semisimple local Langlands correspondence of Fargues-Scholze wh...
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Convolution morphisms and Kottwitz conjecture
Convolution, duality, and twist morphisms relate etale cohomology of local shtuka moduli spaces, yielding new proofs of the Kottwitz conjecture for GL_3 minuscule weights and GL_2 cuspidal parameters, plus counterexam...
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