Published:
[Erscheinungsort nicht ermittelbar]: Institut des Hautes Études Scientifiques (IHÉS), 2018
Published in:Cours d'arithmétique et de géométrie alébrique: Perfectoid Spaces and the Weight-Monodromy Conjecture ; Vol. 6, (Jan. 2018)
Extent:
1 Online-Ressource (1790 MB, 01:35:21:00)
Language:
English
DOI:
10.5446/36370
Identifier:
Origination:
Footnote:
Audiovisuelles Material
Description:
We will introduce the notion of perfectoid spaces. The theory can be seen as a kind of rigid geometry of infinite type, and the most important feature is that the theories over (deeply ramified extensions of) Q_p and over F_p((t)) are equivalent, generalizing to the relative situation a theorem of Fontaine-Wintenberger, and also implying a strong form of Faltings's almost purity theorem. This method of changing the characteristic is then applied to deduce many cases of the weight-monodromy conjecture