p-ADIC GEOMETRY

DOI10.1142/9789813272880_0032zbMath1441.14001arXiv1712.03708OpenAlexW2972902081MaRDI QIDQ5122002

Peter Scholze

Publication date: 22 September 2020

Published in: Proceedings of the International Congress of Mathematicians (ICM 2018) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03708

zbMATH Keywords

Shimura varietiestwistorsLanglands program\(p\)-adic Hodge theoryperfectoid spacesshtukasrigid-analytic geometry

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Local ground fields in algebraic geometry (14G20) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Galois representations (11F80) Modular and Shimura varieties (14G35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Rigid analytic geometry (14G22) Langlands-Weil conjectures, nonabelian class field theory (11S37) Langlands-Weil conjectures, nonabelian class field theory (11R39) Perfectoid spaces and mixed characteristic (14G45)

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