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23 votes
2 answers
4k views

Why are injective modules more complicated than projective modules?

23 votes
5 answers
5k views

Has any attempt been made to classify finite groupoids?

23 votes
3 answers
1k views

What's "bad" about unstable sheaves?

17 votes
4 answers
2k views

What are supersingular varieties?

16 votes
3 answers
4k views

How far can one get with the Gross-Siebert program?

15 votes
2 answers
2k views

Is there a periodic table for knots?

15 votes
1 answer
787 views

Has the Weil conjectures been proved using other (Weil) cohomology theory?

13 votes
2 answers
2k views

Geometric Meaning of higher pushforward for open immersions

9 votes
4 answers
2k views

Lurie's "Virtual fundamental classes" and "Geometric derived stacks"

6 votes
1 answer
637 views

When do we have derived "Hartogs" for quasi-coherent sheaves?

5 votes
1 answer
702 views

Has the cotangent complex been used in context other than morphism of schemes?

5 votes
0 answers
396 views

What are the relation between Rep(G) and Rep(S_n)?

4 votes
1 answer
944 views

What is known about the Bridgeland stability manifold?

4 votes
2 answers
662 views

Examples of Calabi-Yau that are birational to each other?

3 votes
0 answers
377 views

What's the relation between henselianization and completion?

0 votes
1 answer
286 views

Is $(\mathbb{Z}_l-\text{mod})\otimes \mathbb{Q}_l\cong \mathbb{Q}_l-Vect$ ?