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Mar
18
comment Grothendieck's Period Conjecture and the missing p-adic Hodge Theories
representation is abnormally small (compared to the full motivic group) and try to work from there (one can find examples among abelian varieties). Another question is whether you should restrict to isomorphism respecting the filtration on both sides (as I think you should).
Mar
18
comment Grothendieck's Period Conjecture and the missing p-adic Hodge Theories
Will Sawin, first of all, thank you for this interesting (but hard) question. My impression is that part of the difficulty stems from the fact that your analogy is perhaps not so close: a closer analogue might be the collection of all comparison theorems between étale cohomology for each $p$ and de Rham cohomology for a variety over $\mathbb Q$ (rather than the single comparison theorem for a variety over $\mathbb Q_{p}$. In that case, one recovers I believe the full motivic group. As for your precise question, I guess one can take a variety over $\mathbb Q$, select a $p$ such that the Galois
Mar
18
revised Why are modular forms interesting?
added 12 characters in body
Mar
18
awarded  Good Answer
Mar
12
reviewed Approve Predual of a subspace
Feb
25
revised Is Scholl construction of modular motives related to Deligne's construction of $\ell$-adic representations?
Corrected typo
Feb
25
comment Is Scholl construction of modular motives related to Deligne's construction of $\ell$-adic representations?
@user40276 1,2) Yes 3) In Scholl's article.
Feb
25
answered Is Scholl construction of modular motives related to Deligne's construction of $\ell$-adic representations?
Feb
16
comment Does $fd(M)\lt \infty$ and $id(M)\lt \infty $ imply that $R$ is Gorenstein?
In fact, this theorem already appears in the first tome of the Séminaire Samuel Algèbre Commutative (1966/1967)
Feb
8
awarded  Guru
Feb
8
comment Mazur secret Bourbaki report “Analyse p-adique”
OK, so we are dealing with a secret text (talked about but never seen) the mere intention of copying triggers a mysterious fire. Could I ask for a copy too?
Feb
7
answered A criterion for complete intersection in terms of the Hilbert series?
Feb
6
comment Comparing a Chevalley basis with the canonical basis of the adjoint module?
I really like this question. May I ask you to recall the definition of the adjoint module? I am not familiar with this terminology. Also, are you fine with a partial answer only for some Lie algebras, or is it important that the answer be as general as possible?
Feb
6
comment What is an étale theta function?
Considering the number of up-votes this question and its younger sibling about Frobenioid have received, it seems I am in the minority. Nevertheless, I will record that I don't think vague questions about unpublished long and hard manuscripts are suitable for MO. To start with, what would be the criterion to establish if an answer is correct or even helpful? More to the point, I don't see how this question could satisfy the criteria listed under the What kind of questions can I ask here? of the help page.
Feb
6
comment References for general Hasse-Weil zeta function
There is a reason why much of the literature deals with elliptic curves and/or abelian varieties: the analytic continuation and functional equation of the $L$-function is a wide open problem for arbitrary varieties.
Feb
5
comment Heegner points on elliptic curves
@ChrisWuthrich Sure we do: we get the so-called Rubin's formula. See Rubin's Inventiones 107 paper.
Jan
30
comment Automorphism group of regular graph
@BrendanMcKay The question seemed to me to be about the abstract group structure of the automorphism group of a regular graph with n vertices.
Jan
23
awarded  Enlightened
Jan
23
awarded  Nice Answer
Dec
6
awarded  Popular Question