Arithmetic Geometry
Gerd Faltings
Max-Planck-Institut für Mathematik, Bonn, GermanyJohan de Jong
Columbia University, New York, USAPeter Scholze
Universität Bonn, Germany
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