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. An emphasis of the workshop was on p-adic techniques, but various other aspects including Hodge theory, Arakelov theory and global questions were discussed.
Cite this article
Gerd Faltings, Johan de Jong, Peter Scholze, Arithmetic Geometry. Oberwolfach Rep. 13 (2016), no. 3, pp. 2171–2224DOI 10.4171/OWR/2016/38