JournalsowrVol. 21, No. 3pp. 1855–1912

Arithmetic Geometry

  • Bhargav Bhatt

    Institute for Advanced Study, Princeton, USA

  • Ana Caraiani

    Imperial College London, London, UK

  • Gerd Faltings

    MPI Bonn, Bonn, Germany

  • Peter Scholze

    Max-Planck-Institut für Mathematik, 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. The talks covered a wide range of topics including the categorical Langlands program, Shimura varieties, complex and -adic Hodge theory, homotopy theory, and Diophantine geometry.

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Bhargav Bhatt, Ana Caraiani, Gerd Faltings, Peter Scholze, Arithmetic Geometry. Oberwolfach Rep. 21 (2024), no. 3, pp. 1855–1912

DOI 10.4171/OWR/2024/33