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67 votes

6 answers

13k views

Why is the Fourier transform so ubiquitous?

asked Feb 11, 2020 at 20:07

21 votes

1 answer

2k views

Surmounting set-theoretical difficulties in algebraic geometry

asked Nov 16, 2019 at 3:12

15 votes

0 answers

3k views

What to expect from spectral algebraic geometry

asked Dec 25, 2017 at 8:54

12 votes

3 answers

2k views

What is the symmetric monoidal structure on the $(\infty,1)$-category of spectra?

asked Dec 29, 2017 at 3:09

9 votes

0 answers

352 views

Group objects in $\infty$-categories

asked Feb 23, 2018 at 22:41

9 votes

4 answers

2k views

Localization of $\infty$-categories

asked Sep 17, 2018 at 1:25

9 votes

3 answers

675 views

Tannaka duality for semisimple groups

asked Apr 19, 2019 at 22:39

9 votes

3 answers

1k views

Definition of $E_n$-modules for an $E_n$-algebra

asked Jul 18, 2019 at 18:02

7 votes

1 answer

422 views

Dualizable presheaves with respect to Day convolution

asked Oct 10, 2018 at 18:04

6 votes

1 answer

666 views

Is there an English translation of Laumon's proof of geometric Langlands for $\mathbb{G}_m$?

asked Feb 25, 2019 at 0:50

6 votes

1 answer

220 views

Inverting a suspension object in a stable monoidal category

asked Feb 25, 2019 at 4:51

6 votes

1 answer

690 views

Map from a classifying space to a stack

asked Oct 5, 2019 at 17:45

6 votes

1 answer

726 views

What do nearby/vanishing cycles have to do with Fourier transforms?

asked Aug 2, 2021 at 10:22

6 votes

0 answers

319 views

D-modules on singular varieties; forgetful functors, and t-structures

asked Sep 25, 2022 at 18:25

5 votes

1 answer

325 views

Base change isomorphism for left Kan extensions

asked Mar 5, 2023 at 0:33

5 votes

0 answers

212 views

Geometric interpretation of $\mathbb{C}^{\times}$-gerbes

asked Mar 18, 2021 at 5:06

5 votes

1 answer

286 views

Are all pointed maps of classifying spaces of abelian groups homotopy equivalent to homomorphisms?

asked Nov 25, 2019 at 20:30

5 votes

1 answer

251 views

Smash product and the integers in a Grothendieck $(\infty, 1)$-topos

asked Feb 28, 2019 at 1:33

4 votes

0 answers

246 views

Tannaka duality for $DG$ indschemes

asked Oct 24, 2018 at 21:12

4 votes

0 answers

170 views

Free symmetric monoidal category of compactly generated category is compactly generated

asked Nov 15, 2018 at 22:27

4 votes

1 answer

1k views

Dual objects in the $\infty$-category of spectra

asked Dec 29, 2017 at 19:49

4 votes

0 answers

130 views

Category of (co)commutative Hopf monoids in an exact category

asked Nov 3, 2017 at 22:48

4 votes

1 answer

463 views

Groupoidification of infinity categories and geometric realization

asked Nov 29, 2021 at 21:59

4 votes

0 answers

175 views

Generators and colimit-closures in higher categories

asked Nov 7, 2019 at 17:06

3 votes

0 answers

182 views

Where is smoothness used in Voevodsky's homotopy theory of schemes? [duplicate]

asked Feb 20, 2019 at 3:36

3 votes

1 answer

242 views

Notions of integrability for affine Lie algebras and positive energy representations

asked Oct 22, 2019 at 18:27

3 votes

0 answers

229 views

Spherical perverse sheaves on the affine Grassmannian and critically twisted $D$-modules

asked Sep 12, 2019 at 21:11

3 votes

0 answers

177 views

Lie algebra cohomology of loop algebra

asked Sep 16, 2019 at 6:15

3 votes

0 answers

181 views

Connectedness for stacks

asked Oct 1, 2019 at 0:33

3 votes

0 answers

214 views

Relation between ULA complexes and universally locally acyclic morphisms

asked May 15, 2021 at 19:08

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40 Questions

Why is the Fourier transform so ubiquitous?

Surmounting set-theoretical difficulties in algebraic geometry

What to expect from spectral algebraic geometry

What is the symmetric monoidal structure on the $(\infty,1)$-category of spectra?

Group objects in $\infty$-categories

Localization of $\infty$-categories

Tannaka duality for semisimple groups

Definition of $E_n$-modules for an $E_n$-algebra

Dualizable presheaves with respect to Day convolution

Is there an English translation of Laumon's proof of geometric Langlands for $\mathbb{G}_m$?

Inverting a suspension object in a stable monoidal category

Map from a classifying space to a stack

What do nearby/vanishing cycles have to do with Fourier transforms?

D-modules on singular varieties; forgetful functors, and t-structures

Base change isomorphism for left Kan extensions

Geometric interpretation of $\mathbb{C}^{\times}$-gerbes

Are all pointed maps of classifying spaces of abelian groups homotopy equivalent to homomorphisms?

Smash product and the integers in a Grothendieck $(\infty, 1)$-topos

Tannaka duality for $DG$ indschemes

Free symmetric monoidal category of compactly generated category is compactly generated

Dual objects in the $\infty$-category of spectra

Category of (co)commutative Hopf monoids in an exact category

Groupoidification of infinity categories and geometric realization

Generators and colimit-closures in higher categories

Where is smoothness used in Voevodsky's homotopy theory of schemes? [duplicate]

Notions of integrability for affine Lie algebras and positive energy representations

Spherical perverse sheaves on the affine Grassmannian and critically twisted $D$-modules

Lie algebra cohomology of loop algebra

Connectedness for stacks

Relation between ULA complexes and universally locally acyclic morphisms