User Jacob Lurie

199 votes

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If I want to study Jacob Lurie's books "Higher Topoi Theory", "Derived AG", what prerequisites should I have?

answered Sep 6, 2011 at 11:39

106 votes

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Is there a high-concept explanation for why "simplicial" leads to "homotopy-theoretic"?

answered Mar 15, 2011 at 13:15

105 votes

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Hirzebruch's motivation of the Todd class

answered Apr 3, 2011 at 20:04

64 votes

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What is homology anyway?

answered Jul 23, 2017 at 13:33

47 votes

Are morphisms from affine schemes to arbitrary schemes affine morphisms?

answered Sep 7, 2011 at 23:33

42 votes

What's the current state of the classification of not-fully-extended TQFTs?

answered Jul 18, 2010 at 16:30

42 votes

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Is Lemma A.1.5.7 in Higher Topos Theory correct?

answered Jun 13, 2013 at 23:43

40 votes

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What is a simplicial commutative ring from the point of view of homotopy theory?

answered Jan 10, 2013 at 16:44

36 votes

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What's so special about the forgetful functor from G-rep to Vect?

answered Sep 8, 2010 at 19:22

33 votes

What is a symmetric monoidal $(\infty,n)$-category?

answered Nov 20, 2011 at 19:30

33 votes

Reflection principle vs universes

answered Jan 27, 2021 at 12:24

30 votes

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Reflection principle vs universes

answered Jan 28, 2021 at 0:39

29 votes

What are simplicial topological spaces intuitively?

answered Jan 13, 2014 at 15:54

28 votes

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Relation between topos and $\infty$-topos

answered Mar 28, 2012 at 14:23

27 votes

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What do cohomology operations have to do with the non-existence of commutative cochains over $\mathbb{Z}$?

answered Dec 17, 2010 at 1:56

26 votes

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How much do universes matter in topos theory?

answered Oct 2, 2012 at 3:46

26 votes

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How do $\infty$-categories allow us to do descent on the derived level?

answered Mar 3, 2021 at 20:18

25 votes

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Functorial kernel in derived category

answered Mar 13, 2021 at 12:15

24 votes

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Stable homotopy category and the moduli space of formal groups

answered Aug 19, 2011 at 10:10

22 votes

Why study simplicial homotopy groups?

answered Nov 10, 2011 at 19:17

21 votes

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What would be an infinity-groupoid analogue of the duality between sets and complete atomic boolean algebras?

answered Jan 20, 2015 at 14:51

20 votes

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Examples of $(\infty,1)$-topoi that are not given as sheaves on a Grothendieck topology

answered Jun 27, 2017 at 4:56

20 votes

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Semi-simplicial versus simplicial sets (and simplicial categories)

answered Sep 18, 2011 at 11:05

20 votes

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The weak equivalences in the covariant model structure

answered Aug 28, 2011 at 12:20

20 votes

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compact objects in model categories and $(\infty,1)$-categories

answered Apr 25, 2012 at 18:17

19 votes

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elliptic curves and group cohomology

answered Dec 22, 2015 at 6:39

19 votes

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Lower Algebra: Modules over the monoidal category of abelian groups

answered Sep 4, 2013 at 17:25

18 votes

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Are there noncommutative extensions of $\alpha_p$ by $\mathbb{G}_m$?

answered Oct 10, 2014 at 23:12

18 votes

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Where to find the correct result in Higher Algebra, incorrect reference

answered Nov 24, 2017 at 13:49

17 votes

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Projective objects in HTT

answered Nov 6, 2013 at 11:54

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65 Answers

If I want to study Jacob Lurie's books "Higher Topoi Theory", "Derived AG", what prerequisites should I have?

Is there a high-concept explanation for why "simplicial" leads to "homotopy-theoretic"?

Hirzebruch's motivation of the Todd class

What is homology anyway?

Are morphisms from affine schemes to arbitrary schemes affine morphisms?

What's the current state of the classification of not-fully-extended TQFTs?

Is Lemma A.1.5.7 in Higher Topos Theory correct?

What is a simplicial commutative ring from the point of view of homotopy theory?

What's so special about the forgetful functor from G-rep to Vect?

What is a symmetric monoidal $(\infty,n)$-category?

Reflection principle vs universes

Reflection principle vs universes

What are simplicial topological spaces intuitively?

Relation between topos and $\infty$-topos

What do cohomology operations have to do with the non-existence of commutative cochains over $\mathbb{Z}$?

How much do universes matter in topos theory?

How do $\infty$-categories allow us to do descent on the derived level?

Functorial kernel in derived category

Stable homotopy category and the moduli space of formal groups

Why study simplicial homotopy groups?

What would be an infinity-groupoid analogue of the duality between sets and complete atomic boolean algebras?

Examples of $(\infty,1)$-topoi that are not given as sheaves on a Grothendieck topology

Semi-simplicial versus simplicial sets (and simplicial categories)

The weak equivalences in the covariant model structure

compact objects in model categories and $(\infty,1)$-categories

elliptic curves and group cohomology

Lower Algebra: Modules over the monoidal category of abelian groups

Are there noncommutative extensions of $\alpha_p$ by $\mathbb{G}_m$?

Where to find the correct result in Higher Algebra, incorrect reference

Projective objects in HTT