bio | website | people.brandeis.edu/~jbellaic |
---|---|---|
location | Stony Creek, États-Unis | |
age | ||
visits | member for | 3 years, 11 months |
seen | 6 hours ago | |
stats | profile views | 11,098 |
Professor of Mathematics at Brandeis University
Aug 18 |
comment |
Kernel of the character of congruence groups
Dear Abdullah, I have slightly edited your question in order to introduce the precisions you gave in comments. |
Aug 18 |
revised |
Kernel of the character of congruence groups
I introduced in the text of the question the precisions given in comments by the OP |
Aug 17 |
answered | Why considering schemes over discrete valuation rings? |
Aug 14 |
comment |
Smallest prime in an arithmetic progression
And it is conjectured that much more that even what can be proved using GRH is true, namely that the first prime is O(b^{1+\epsilon}) for all $\epsilon>0$, or perhaps even $O(b \log^2b)$. |
Aug 14 |
reviewed | Leave Open Chow group of zero-cycles generated by open dense subscheme |
Aug 14 |
reviewed | Leave Open The ten martini problem - reason for name |
Aug 14 |
comment |
The Modularity Theorem and Serre's/Faltings's Isogeny Theorem
Vesselin, you could post your comment as an answer. |
Aug 14 |
awarded | Necromancer |
Aug 14 |
awarded | Nice Question |
Aug 13 |
revised |
Effective Chebotarev without Artin's conjecture
edited body |
Aug 7 |
revised |
The cohomology group $H^{1}(GL_{2}(\mathbb{F}_{p}), M_{2}(\mathbb{F}_{p}))$
added 28 characters in body |
Aug 7 |
comment |
The cohomology group $H^{1}(GL_{2}(\mathbb{F}_{p}), M_{2}(\mathbb{F}_{p}))$
You're right. I correct. |
Aug 7 |
revised |
The cohomology group $H^{1}(GL_{2}(\mathbb{F}_{p}), M_{2}(\mathbb{F}_{p}))$
added 5 characters in body |
Aug 7 |
answered | The cohomology group $H^{1}(GL_{2}(\mathbb{F}_{p}), M_{2}(\mathbb{F}_{p}))$ |
Aug 6 |
comment |
Faithful representations of free pro-p groups
Ah yes, you're right. Sorry. |
Aug 6 |
comment |
Faithful representations of free pro-p groups
Pablo, what is stated without proof? I don't see your exact result stated, but Theorem 1.1 is the same with $\overline{ \mathbb Q_p}$ replaced by a local field, and it is proved in the paper. To go from the case of a local field to your case, you just have to know, as you said yourselves in your question, that since $F(p,m)$ is compact its image is in $GL_n(F)$ for a local field $F$. Of course, the proof of Theorem 1.1 in the paper is not long (two paragraphs) but it is a proof all the same (using a result of Pink, whose proof you can find in the reference given). |
Aug 5 |
comment |
Computer Science applications of Roth's Theorem
It's a very strange question. You know well enough that most subjects in pure mathematics are not developed in view of applications and many do not have at this time (and perhaps will never have) any application. Now it might be possible that the subject of additive combinatorics has some application to CS, and I would understand you asking about tis, but restricting the question to one single theorem in Additive Combinatorics, for no other reason that you have studied this theorem, makes it pointless. Like "what are the applications of Zhang's theorem on bound between primes to biology?" |
Aug 2 |
awarded | Good Question |
Aug 1 |
comment |
mod $p$ Jacquet-Langlands correspondence
Dear user56638, I don't know a reference for any of these cases. The study of mod $p$ representations of reductive groups over a local field $F$ in the case where $p$ is not the residue characteristic of $F$ has been the object of a lot of attention in the 80's, 90's and early 2000's, but I don't know where the case of the group of units of a central simple algebra is treated. You should look carefully in the work of M.-F. Vignéras. |
Jul 31 |
comment |
mod $p$ Jacquet-Langlands correspondence
Is the residue characteristic of $F$ equals to $p$, or different from $p$? That's two cases which are very different... |