Perfectoid Spaces: A survey
By Peter Scholze. 2013
90 citations recorded by the source corpus.
This paper, written in relation to the Current Developments in Mathematics 2012 Conference, discusses the recent papers on perfectoid spaces. Apart from giving an introduction to their content, it includes some open questions, as well as complements to the results of the previous papers.
Subfields: Geometry and Topology, Management Science and Operations Research, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/bed78c00dd66189615298ecb94b5e7739632d692
How researchers see this paper
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In Geometry and Topology
- Peter Scholze
- Kiran S. Kedlaya
- Ruochuan Liu
- E. Viehmann
- Michael Rapoport
- Xuhua He
- Xinwen Zhu
- Jonathan Pottharst
In Management Science and Operations Research
In Mathematical Physics
- Peter Scholze
- Ruochuan Liu
- Kiran S. Kedlaya
- E. Viehmann
- Michael Rapoport
- Xuhua He
- Xinwen Zhu
- Jonathan Pottharst
Citations in the corpus
- On torsion in the cohomology of locally symmetric varieties (2013, background): “3This argument, which appears also in [55], shows that one should think of O/p and related sheaves as being like an ’algebraic topology local system’, and not as being like a coherent sheaf.”
- Relative p-adic Hodge theory, II: Imperfect period rings (2016, background): “The correct paper is the one herein labeled [97].”
- Integral p$p$-adic Hodge theory (2016, unknown): “As an application of the construction of the B dR-cohomology theory, we can prove degeneration of the Hodge–Tate spectral sequence, [59], in general.”
- Towards a theory of local Shimura varieties (2014, background): “More in line with the ideas outlined here is Scholze’s theory of perfectoid spaces [86, 87].”