4 problems

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Cohomological smoothness conjecture for the non-very-special locus
Cohomological smoothness conjecture. The structure morphism
Conjectureopencohomological-smoothness local-shtukas rapoport-zink-spacesarXiv posted 2 days ago
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Cohomological smoothness conjecture for mixed characteristic local shtuka moduli
Cohomological smoothness conjecture. The structure morphism
Conjectureopencohomological-smoothness local-shtukas rapoport-zink-spacesarXiv posted 2 days ago
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Vanishing conjecture for local shtuka cohomology
Let $b\in B(G)$ be basic, let $\mu_\bullet$ be a finite collection of cocharacters, and let $\rho$ be an irreducible admissible representation of $G_b(\bbQ_p)$ whose parameter…
Conjectureopenintersection-cohomology local-shtukas p-adic-representationsarXiv posted 2 days ago
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Kottwitz conjecture for local shtuka cohomology
Kottwitz conjecture. One has
Conjectureopenlocal-langlands local-shtukas p-adic-representationsarXiv posted 2 days ago

Cohomological smoothness conjecture for the non-very-special locus