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 while establishing torsion vanishing for proper cases.
Torsion vanishing for some shimura varieties.arXiv preprint arXiv:2309.08705,
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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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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 while establishing torsion vanishing for proper cases.
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On the non-generic part of cohomology of compact unitary Shimura varieties of signature $(1,n)$
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.