Search Results: Perfectoid

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Perfectoid space
Selasa, 2026-05-12 06:48:31

In mathematics, perfectoid spaces are adic spaces of special kind, which occur in the study of problems of "mixed characteristic", such as local fields...

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Peter Scholze
Sabtu, 2026-04-04 03:01:40

Faltings, Jean-Marc Fontaine and later by Kiran Kedlaya. His PhD thesis on perfectoid spaces yields the solution to a special case of the weight-monodromy conjecture...

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Yves André
Selasa, 2026-05-12 06:48:38

and by Jonathan Pila in 2009. In 2016, André used Scholze's method of perfectoid spaces to prove Melvin Hochster's direct summand conjecture that any finite...

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Bhargav Bhatt (mathematician)
Minggu, 2026-03-01 06:18:39

Kiran; Scholze, Peter; Weinstein, Jared (2019). Cais, Bryden (ed.). Perfectoid Spaces. Mathematical Surveys and Monographs. Vol. 242. Providence, Rhode...

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Arithmetic geometry
Sabtu, 2026-03-28 01:09:02

geometry of certain Shimura varieties. In the 2010s, Peter Scholze developed perfectoid spaces and new cohomology theories in arithmetic geometry over p-adic...

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Lorenzo Ramero
Rabu, 2026-02-04 05:20:34

after the first book, and especially an extended theory of perfectoid rings and perfectoid spaces which generalizes the recent work of Peter Scholze....

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Field (mathematics)
Jumat, 2026-06-05 15:21:06

t (in Fp((t))), yields (infinite) extensions of these fields known as perfectoid fields. Strikingly, the Galois groups of these two fields are isomorphic...

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Fermat Prize
Jumat, 2026-06-05 01:32:26

from interacting particle systems" Peter Scholze "for his invention of perfectoid spaces and their application to fundamental problems in algebraic geometry...

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Space (mathematics)
Sabtu, 2026-05-09 08:46:02

Metric space Minkowski space Müntz space Normed space Paracompact space Perfectoid space Planar space Polish space Probability space Projective space Proximity...

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Homological conjectures in commutative algebra
Selasa, 2026-05-12 06:46:44

an R-module. The conjecture was proven by Yves André using a theory of perfectoid spaces. The Canonical Element Conjecture. Let x 1 , … , x d {\displaystyle...

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List of publications in mathematics
Minggu, 2026-05-10 23:08:32

Geometric Langlands program. Peter Scholze (2012) Peter Scholze introduced Perfectoid space. Leonhard Euler (1748) The eminent historian of mathematics Carl...

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Laurent Fargues
Selasa, 2026-05-12 06:26:06

Fontaine, and Scholze" (PDF). bourbaki.ens.fr. "Geometric Langlands, Perfectoid Spaces, and the Fargues-Fontaine Curve" (PDF). Michael Rapoport (28 December...

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Clay Research Award
Minggu, 2026-04-26 03:46:33

geometry, particularly in the development and applications of the theory of perfectoid spaces" 2013 Rahul Pandharipande "For his recent outstanding work in enumerative...

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Cole Prize
Rabu, 2026-06-03 23:45:51

the essential dimension of groups. 2015 Peter Scholze for his work on perfectoid spaces which has led to a solution of an important special case of the...

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Wiesława Nizioł
Senin, 2026-03-09 02:50:42

Sciences Research Institute in 2014, 2018 and 2023 as part of programs on perfectoid spaces, the homological conjectures and Euler systems, respectively. She...

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List of University of Bonn people
Sabtu, 2026-01-03 16:53:54

arithmetic algebraic geometry over p-adic fields through his introduction of perfectoid spaces, with application to Galois representations, and for the development...

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