THE WORK OF PETER SCHOLZE

DOI10.1142/9789813272880_0004zbMath1441.11002arXiv1909.07222OpenAlexW2972373323MaRDI QIDQ5121975

Michael Rapoport

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/1909.07222

zbMATH Keywords

Shimura varietiesperfectoid spacescohomology theoriespro-étale topology

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of mathematics in the 21st century (01A61) Research exposition (monographs, survey articles) pertaining to number theory (11-02) History of number theory (11-03) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Galois representations (11F80) History of algebraic geometry (14-03) Rigid analytic geometry (14G22) Langlands-Weil conjectures, nonabelian class field theory (11S37) Langlands-Weil conjectures, nonabelian class field theory (11R39) Automorphic forms and their relations with perfectoid spaces (11F77) Perfectoid spaces and mixed characteristic (14G45)

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