bio | website | perso.ens-lyon.fr/… |
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location | Lyon, France | |
age | 38 | |
visits | member for | 4 years, 11 months |
seen | 2 days ago | |
stats | profile views | 3,116 |
I am a number theorist working in Lyon (France).
Apr 8 |
awarded | Popular Question |
Apr 8 |
comment |
Algebraic integer with conjugates on the unit circle
The same is true of $\alpha^k$ and the characteristic polynomials of the $\alpha^k$ have coeffts that are bounded indept of $k$. A lot of them must be equal to each other, so $\alpha^k = \alpha^\ell$ for some $k$ and $\ell$. |
Apr 8 |
answered | examples of non-unique factorisation in cyclotomic fields |
Mar 1 |
comment |
Can an abelian variety/Q have no non-trivial points over Q_sol?
@Pablo sorry, my mistake! |
Mar 1 |
comment |
Can an abelian variety/Q have no non-trivial points over Q_sol?
By definition, an abelian variety over a field K has a rational point over K, so in your question, you presumably mean a homogenous space for your abelian variety. |
Jan 27 |
comment |
Number of common solutions of polynomial system
See for instance the introduction to arxiv.org/abs/1408.3224 |
Jan 27 |
answered | integral p-adic Hodge theory and de Rham representations |
Sep 5 |
revised |
Openness of finite index subgroups of $\mathrm{GL}_n(\prod O_v)$
added 59 characters in body |
Sep 5 |
answered | Openness of finite index subgroups of $\mathrm{GL}_n(\prod O_v)$ |
Aug 26 |
awarded | Enlightened |
Aug 6 |
awarded | Custodian |
Aug 6 |
reviewed | Reject nontrivial theorems with trivial proofs |
Jul 26 |
comment |
Linear map with two “incompatible” representations
Very nice, thank you! |
Jul 26 |
accepted | Linear map with two “incompatible” representations |
Jul 25 |
asked | Linear map with two “incompatible” representations |
Jul 24 |
comment |
If $G$ is compact, $H \leq G$ open, $V$ an irreducible $H$-rep, is $\text{Ind}_H^G$ semisimple?
The continuity of the action does not imply that V is finite diml. |
Jul 13 |
comment |
is there a p-adic implicit function theorem?
See page 73 of the latest edition of Serre's book. |
Jul 13 |
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Power series defined by Witt vectors / Teichmüller representatives of p-adics
... "Quiconque s’est intéressé aux corps locaux sait bien qu’une extension très ramifiée du corps $Q_p$ des nombres $p$-adiques ressemble à s’y méprendre à un corps de séries formelles à coefficients dans son corps résiduel. C’est sans doute Marc Krasner qui a tenté le premier de formuler ce phénomène abondamment utilisé depuis en théorie de Hodge p-adique [...]" (Fontaine, Bourbaki 1057). |
Jul 13 |
comment |
Power series defined by Witt vectors / Teichmüller representatives of p-adics
If you take $K$ to be ramified and play the same game, then as you increase the ramification, your two fields are "more and more isomorphic". This observation of Krasner is the basis for the theory of the "field of norms" and more recently the theory of "perfectoid spaces". Here is what Fontaine says about this in his recent Bourbaki exposé... |
Jul 13 |
comment |
What is the lowest-weight non-cyclotomic Galois representation in $\overline{\mathcal M}_{g,n}$?
I think that Gaëtan Chenevier is thinking about these things as well, you could ask him directly. |