User Peter Scholze

260 votes

Accepted

What are "perfectoid spaces"?

answered May 31, 2011 at 15:41

124 votes

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Global character of ABC/Szpiro inequalities

answered Mar 29 at 18:59

67 votes

Consequences of Kirti Joshi's new preprint about p-adic Teichmüller theory on the validity of IUT and on the ABC conjecture

answered Nov 22, 2022 at 13:14

54 votes

The use of computers leading to major mathematical advances II

answered Jun 30, 2021 at 15:13

46 votes

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Why is Faltings' "almost purity theorem" a purity theorem?

answered Jun 7, 2013 at 20:20

46 votes

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$p$-adic Hodge Theory for rigid spaces, after P. Scholze

answered Jan 13, 2018 at 13:38

38 votes

Analogue to covering space for higher homotopy groups?

answered Feb 7, 2021 at 23:20

37 votes

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Clausen–Scholze's Theorem 9.1 of Analytic.pdf, in view of light condensed sets, AKA is the Liquid Tensor Experiment easier now?

answered Mar 21 at 14:49

34 votes

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What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$-adic field?

answered Mar 11, 2021 at 9:36

33 votes

Why to believe the Fargues geometrization conjecture?

answered Mar 16, 2021 at 14:55

31 votes

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Examples of solid abelian groups

answered Sep 7, 2021 at 7:40

30 votes

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When (or why) is a six-functor formalism enough?

answered Mar 13, 2023 at 7:34

29 votes

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Derived categories and $\infty$-categories necessary for condensed mathematics

answered Oct 14, 2022 at 9:45

29 votes

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Condensed criterion for sheafiness of adic spaces

answered Jan 2, 2021 at 21:53

28 votes

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What is the precise relationship between pyknoticity and cohesiveness?

answered Apr 7, 2020 at 13:10

27 votes

What is homology anyway?

answered Mar 8, 2021 at 15:59

22 votes

p-adic Hodge theory for varieties defined over \C _p ?

answered May 14, 2012 at 15:09

21 votes

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Are there (enough) injectives in condensed abelian groups?

answered Apr 1, 2020 at 11:02

21 votes

Derived Algebraic Geometry and Chow Rings/Chow Motives

answered Aug 22, 2010 at 11:21

21 votes

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Condensed vs pyknotic vs consequential

answered Feb 28, 2023 at 22:45

20 votes

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What is the upper shriek in Grothendieck duality in the non-proper case?

answered Apr 12, 2021 at 19:18

19 votes

Perfectoid universal covers

answered Mar 12, 2021 at 21:47

19 votes

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Properties of pyknotic sets

answered Feb 26, 2023 at 21:10

18 votes

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Is there a ring stacky approach to $\ell$-adic or rigid cohomology?

answered May 2, 2023 at 12:17

18 votes

What are the potential applications of perfectoid spaces to homotopy theory?

answered Mar 15, 2021 at 13:23

18 votes

Tropicalization of perfectoid spaces and their tilts

answered Mar 12, 2021 at 21:13

18 votes

Sheaf-theoretic approach to forcing

answered Mar 5, 2021 at 8:57

18 votes

Reflection principle vs universes

answered Jan 29, 2021 at 14:13

17 votes

Applications of integral p-adic Hodge theory

answered Mar 10, 2021 at 15:46

17 votes

Is there an $\mathbb{R}$-valued cohomology theory for varieties over $\mathbb{F}_p$?

answered Mar 31, 2021 at 13:47

Stack Exchange Network

85 Answers

What are "perfectoid spaces"?

Global character of ABC/Szpiro inequalities

Consequences of Kirti Joshi's new preprint about p-adic Teichmüller theory on the validity of IUT and on the ABC conjecture

The use of computers leading to major mathematical advances II

Why is Faltings' "almost purity theorem" a purity theorem?

$p$-adic Hodge Theory for rigid spaces, after P. Scholze

Analogue to covering space for higher homotopy groups?

Clausen–Scholze's Theorem 9.1 of Analytic.pdf, in view of light condensed sets, AKA is the Liquid Tensor Experiment easier now?

What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$-adic field?

Why to believe the Fargues geometrization conjecture?

Examples of solid abelian groups

When (or why) is a six-functor formalism enough?

Derived categories and $\infty$-categories necessary for condensed mathematics

Condensed criterion for sheafiness of adic spaces

What is the precise relationship between pyknoticity and cohesiveness?

What is homology anyway?

p-adic Hodge theory for varieties defined over \C _p ?

Are there (enough) injectives in condensed abelian groups?

Derived Algebraic Geometry and Chow Rings/Chow Motives

Condensed vs pyknotic vs consequential

What is the upper shriek in Grothendieck duality in the non-proper case?

Perfectoid universal covers

Properties of pyknotic sets

Is there a ring stacky approach to $\ell$-adic or rigid cohomology?

What are the potential applications of perfectoid spaces to homotopy theory?

Tropicalization of perfectoid spaces and their tilts

Sheaf-theoretic approach to forcing

Reflection principle vs universes

Applications of integral p-adic Hodge theory

Is there an $\mathbb{R}$-valued cohomology theory for varieties over $\mathbb{F}_p$?