The life and work of John Tate

DOI10.5802/crmath.125zbMath1455.01032OpenAlexW3122252251MaRDI QIDQ2223426

Jean-Pierre Serre

Publication date: 29 January 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.125

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of number theory (11-03) History of algebraic geometry (14-03)

Cites Work

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• Finiteness theorems for abelian varieties over number fields.
• Refined conjectures of the ``Birch and Swinnerton-Dyer type
• Formal complex multiplication in local fields
• Endomorphisms of Abelian varieties over finite fields
• Good reduction of abelian varieties
• Rigid analytic spaces
• The higher dimensional cohomology groups of class field theory
• p-Adic Hodge Theory
• Les Schémas de Modules de Courbes Elliptiques
• Tate’s work and the Serre–Tate correspondence
• Autobiography
• The Work of John Tate
• Group schemes of prime order
• Weil-Châtelet groups over local fields