JournalsowrVol. 17, No. 2/3pp. 1023–1082

Arithmetic Geometry

  • Gerd Faltings

    Max-Planck-Institut für Mathematik, Bonn, Germany

  • Johan de Jong

    Columbia University, New York, USA

  • Peter Scholze

    Universität Bonn, Germany
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Abstract

Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their -adic completions, and connects with representation theory, automorphic forms, Hodge theory, algebraic topology, and many other fields.

Cite this article

Gerd Faltings, Johan de Jong, Peter Scholze, Arithmetic Geometry. Oberwolfach Rep. 17 (2020), no. 2/3, pp. 1023–1082

DOI 10.4171/OWR/2020/20