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88

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13

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25k

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76

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62

answers

14k

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Books you would like to see translated into English.

books big-list translation

Oct 15 '19 at 9:01 Haoming Wang 1

65

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4

answers

6k

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Did Gelfand's theory of commutative Banach algebras influence algebraic geometers?

ho.history-overview banach-algebras ag.algebraic-geometry fa.functional-analysis

Mar 29 '15 at 17:28 Community♦ 1

54

votes

11

answers

10k

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Non-commutative algebraic geometry

ag.algebraic-geometry noncommutative-geometry

Jun 18 '10 at 0:50 Emerton 53.4k

53

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4

answers

5k

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Why do Todd classes appear in Grothendieck-Riemann-Roch formula?

ag.algebraic-geometry vector-bundles

Jul 23 at 8:02 pbelmans 1,307

46

votes

1

answer

5k

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D-modules, deRham spaces and microlocalization

d-modules ag.algebraic-geometry differential-equations stacks

Feb 24 '15 at 16:49 Ben Webster♦ 38.9k

43

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2

answers

4k

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How to unify various reconstruction theorems (Gabriel-Rosenberg, Tannaka,Balmers)

ag.algebraic-geometry noncommutative-geometry big-picture

Feb 25 '10 at 16:23 Community♦ 1

42

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4

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ag.algebraic-geometry linear-algebra vector-bundles

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41

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5

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Theories of Noncommutative Geometry

noncommutative-geometry

Apr 18 '10 at 9:43 Community♦ 1

40

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17

answers

6k

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What are some examples of narrowly missed discoveries in the history of mathematics?

soft-question ho.history-overview big-list

Dec 18 '17 at 2:50 1.. 11.8k

36

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16

answers

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“Homotopy-first” courses in algebraic topology

teaching at.algebraic-topology homology homotopy-theory

Jul 11 at 9:26 David Roberts 28.1k

35

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How do I know the derived category is NOT abelian?

homological-algebra derived-categories

Mar 1 '13 at 16:22 Community♦ 1

33

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4

answers

5k

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ct.category-theory algebraic-groups monoidal-categories tannakian-category

May 25 '17 at 3:47 Marcel Bischoff 1,961

33

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A slick proof of the Bruhat Decomposition for GL_n(k)?

slick-proof linear-algebra algebraic-groups

Feb 15 '13 at 18:41 ACL 12k

31

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What is known about this plethysm?

co.combinatorics rt.representation-theory plethysm

Jun 5 '16 at 7:10 doetoe 505

29

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t-structures and higher categories?

ct.category-theory triangulated-categories higher-category-theory ag.algebraic-geometry motives

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29

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6

answers

6k

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Algebraic stacks from scratch [closed]

ag.algebraic-geometry ac.commutative-algebra ct.category-theory reference-request

Apr 3 '17 at 7:39 evgeny 1,900

28

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4

answers

4k

views

What is the opposite category of the category of modules (or Hopf algebra representations)?

ct.category-theory

Sep 25 '10 at 21:38 Community♦ 1

27

votes

1

answer

2k

views

What is the Hirzebruch-Riemann-Roch formula for the flag variety of a Lie algebra?

ag.algebraic-geometry geometric-representation-theory

Jun 16 at 14:44 David E Speyer 127k

23

votes

2

answers

2k

views

Does a “Chern character” exist for any generalized cohomology theory?

at.algebraic-topology kt.k-theory-and-homology chern-classes cohomology

Jul 6 '17 at 12:42 Jeremy Rickard 27.4k

22

votes

4

answers

2k

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algebraic group G vs. algebraic stack BG

ag.algebraic-geometry algebraic-groups stacks deformation-theory

Mar 31 '17 at 19:36 Community♦ 1

21

votes

5

answers

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Precise definition of a scheme (Key question: How to define an open subfunctor without resorting to classical scheme theory)

ag.algebraic-geometry ct.category-theory

Feb 20 '10 at 14:28 Daniel Bergh 1,478

20

votes

3

answers

1k

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Is every integral epimorphism of commutative rings surjective?

ac.commutative-algebra ag.algebraic-geometry

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20

votes

3

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Is there a “categorical” description of Grothendieck's algebra of differential operators?

ra.rings-and-algebras rt.representation-theory universal-property sheaf-theory

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20

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4

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Algebraic de Rham cohomology vs. analytic de Rham cohomology

ag.algebraic-geometry complex-geometry gaga

May 6 '18 at 12:04 Ashwin Iyengar 213

20

votes

2

answers

1k

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Canonical topology on the category of schemes?

ag.algebraic-geometry ct.category-theory

Dec 24 '09 at 0:14 Community♦ 1

19

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1

answer

2k

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How many ways are there to globalize Harish Chandra modules?

rt.representation-theory geometric-representation-theory fa.functional-analysis

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18

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12

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Looking for an introductory textbook on algebraic geometry for an undergraduate lecture course

ag.algebraic-geometry teaching textbook-recommendation

Jun 27 '14 at 16:00 Community♦ 1

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What is the “correct” category of multisets

ct.category-theory multiset topos-theory

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1

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schemes sheaf-theory ag.algebraic-geometry

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118 Bookmarks

Most striking applications of category theory?

Books you would like to see translated into English.

Did Gelfand's theory of commutative Banach algebras influence algebraic geometers?

Non-commutative algebraic geometry

Why do Todd classes appear in Grothendieck-Riemann-Roch formula?

D-modules, deRham spaces and microlocalization

How to unify various reconstruction theorems (Gabriel-Rosenberg, Tannaka,Balmers)

Using linear algebra to classify vector bundles over P^1

Theories of Noncommutative Geometry

What are some examples of narrowly missed discoveries in the history of mathematics?

“Homotopy-first” courses in algebraic topology

How do I know the derived category is NOT abelian?

Tannakian Formalism

A slick proof of the Bruhat Decomposition for GL_n(k)?

What is known about this plethysm?

t-structures and higher categories?

Algebraic stacks from scratch [closed]

What is the opposite category of the category of modules (or Hopf algebra representations)?

What is the Hirzebruch-Riemann-Roch formula for the flag variety of a Lie algebra?

Does a “Chern character” exist for any generalized cohomology theory?

algebraic group G vs. algebraic stack BG

Precise definition of a scheme (Key question: How to define an open subfunctor without resorting to classical scheme theory)

Is every integral epimorphism of commutative rings surjective?

Is there a “categorical” description of Grothendieck's algebra of differential operators?

Algebraic de Rham cohomology vs. analytic de Rham cohomology

Canonical topology on the category of schemes?

How many ways are there to globalize Harish Chandra modules?

Looking for an introductory textbook on algebraic geometry for an undergraduate lecture course

What is the “correct” category of multisets

Functorial characterization of open subschemes?