Mikhail Bondarko's user avatar
Mikhail Bondarko's user avatar
Mikhail Bondarko's user avatar
Mikhail Bondarko
  • Member for 14 years, 4 months
  • Last seen this week
55 votes
14 answers
19k views

'Important' applications of p-adic numbers outside of algebra (and number theory).

25 votes
2 answers
3k views

Most significant results in motivic integration theory?

25 votes
0 answers
1k views

The most important facts, modern surveys, and readable introductions to p-adic cohomology theories (crystalline cohomology and the mysterious functor)

23 votes
1 answer
1k views

Is hyperelliptic cryptography "practical"?

20 votes
1 answer
2k views

Any algebraic substitute for Morse theory (and homology) in arbitrary characteristic?

18 votes
1 answer
981 views

Which motivic cohomology groups of complex numbers are non-torsion?

15 votes
2 answers
5k views

What areas of algebra could be interesting to probability theorists?

15 votes
1 answer
513 views

What are the advantages of various "models" for the motivic stable homotopy category

15 votes
1 answer
2k views

What is the purpose of section 3 of BBD?

14 votes
1 answer
732 views

Can there exist Chow motives/motivic cohomology for compact Kähler manifolds?

14 votes
1 answer
1k views

Motivic cohomology vs. K-theory for singular varieties

14 votes
1 answer
7k views

A nice explanation of what is a smooth (l-adic) sheaf?

14 votes
1 answer
2k views

On polarized (pure) Hodge structures

14 votes
1 answer
1k views

Are two conjectural descriptions of the motivic t-structure (via cohomology and via affine varieties) known to be equivalent?

13 votes
1 answer
585 views

Is there a yoga of effectivity for motives and their realizations?

12 votes
1 answer
531 views

Presenting $\mathbb{Q}[[t]]$ as an explicit colimit of smooth $\mathbb{Q}$-algebras: an explicit example for the Popescu's theorem

12 votes
1 answer
395 views

Which statements and arguments of Hovey's "Model categories" fail without functorial factorizations of morphisms?

12 votes
3 answers
3k views

Derived categories of (coherent) sheaves of modules: exceptional images, gluing, and proper descent?

12 votes
4 answers
2k views

Localizing an arbitrary additive category

11 votes
2 answers
1k views

The vanishing of $MGL^{2n+i,n}(X)$; do spectra of smooth projective varieties generate $SH_{l}$?

11 votes
2 answers
721 views

Do there exist "topologically significant" (and not "algebraic") triangulated categories killed by the multiplication by $p$?

11 votes
1 answer
256 views

What are the projective dimensions of big fraction fields?

10 votes
2 answers
565 views

Does a triangulated category that possesses a subcategory $B$ of generators with no extensions of non-zero degree between them have to be isomorphic to $K^b(B)$?

10 votes
1 answer
1k views

Bad behaviour of perverse sheaves over 'general' bases?

9 votes
2 answers
574 views

Can one ignore primes lying over $l$ in the Fontaine-Mazur conjecture? Counterexamples?

9 votes
3 answers
2k views

Applications for intersection (co)homology and for the Decomposition Theorem for students?

9 votes
1 answer
890 views

The vanishing of non-connective K-theory in negative degrees

9 votes
0 answers
787 views

How many ways are there to teach class field theory?

9 votes
0 answers
244 views

Which field extensions do not affect Chow groups?

9 votes
1 answer
874 views

Is the functor from the unbounded derived category of coherent sheaves into the derived category of quasi-coherent sheaves fully faithful?

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