ON THE GEOMETRY OF THE NEWTON STRATIFICATION

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Abstract

We give an overview over recent results on the global structure and geometry of the Newton stratification of the reduction modulo p of Shimura varieties of Hodge type with hyperspecial level structure. More precisely, we discuss non-emptiness, dimensions, and closure relations of Newton strata. We also explain the group-theoretic description and methods leading to their proofs.

Original languageEnglish
Title of host publicationShimura Varieties
PublisherCambridge University Press
Pages192-208
Number of pages17
ISBN (Electronic)9781108649711
ISBN (Print)9781108704861
DOIs
StatePublished - 1 Jan 2020

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