JournalsowrVol. 15, No. 2pp. 1517–1577

Field Arithmetic

  • Lior Bary-Soroker

    Tel Aviv University, Israel

  • Florian Pop

    University of Pennsylvania, Philadelphia, USA

  • Jakob Stix

    Goethe-Universität Frankfurt, Germany
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Abstract

Field Arithmetic studies the interrelation between arithmetic properties of fields and their absolute Galois groups. It is an interdisciplinary area that uses methods of algebraic number theory, commutative algebra, algebraic geometry, arithmetic geometry, finite and profinite groups, and nonarchimedean analysis. Some of the results are motivated by questions of model theory and used to establish results in (un-)decidability.

Cite this article

Lior Bary-Soroker, Florian Pop, Jakob Stix, Field Arithmetic. Oberwolfach Rep. 15 (2018), no. 2, pp. 1517–1577

DOI 10.4171/OWR/2018/25