Oberwolfach Reports

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Volume 13, Issue 3, 2016, pp. 2171–2224
DOI: 10.4171/OWR/2016/38

Published online: 2017-04-22

Arithmetic Geometry

Gerd Faltings[1], Johan de Jong[2] and Peter Scholze[3]

(1) Max-Planck-Institut für Mathematik, Bonn, Germany
(2) Columbia University, New York, USA
(3) Universität Bonn, Germany

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 $p$-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.

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Faltings Gerd, de Jong Johan, Scholze Peter: Arithmetic Geometry. Oberwolfach Rep. 13 (2016), 2171-2224. doi: 10.4171/OWR/2016/38