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The work of Peter Scholze. (English) Zbl 1441.11002

Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 71-85 (2018).
Summary: Peter Scholze has developed powerful methods in algebraic geometry over \(p\)-adic fields, and has proved striking theorems in this area.
For the entire collection see [Zbl 1436.00059].

MSC:

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

Biographic References:

Scholze, Peter
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