bio  website  perso.enslyon.fr/… 

location  Lyon, France  
age  37  
visits  member for  4 years, 2 months 
seen  2 hours ago  
stats  profile views  2,859 
I am a number theorist working in Lyon (France).
7h

asked  Linear map with two “incompatible” representations 
1d

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 padic implicit function theorem?
See page 73 of the latest edition of Serre's book. 
Jul 13 
comment 
Power series defined by Witt vectors / Teichmüller representatives of padics
... "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 padique [...]" (Fontaine, Bourbaki 1057). 
Jul 13 
comment 
Power series defined by Witt vectors / Teichmüller representatives of padics
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 lowestweight noncyclotomic 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. 
May 2 
comment 
How to correct an error in a submitted paper?
Same here  I recently had a paper rejected on the basis of three reports, one of which was a very angry report which was not based on the version of the paper that I'd sent to the journal. My paper, however, stayed rejected after this was pointed out :( 
Apr 30 
awarded  Yearling 
Apr 17 
answered  Reference for $p$adic Hodge theory with coefficients 
Feb 27 
answered  injective implies completion injective? 
Feb 6 
comment 
Status of local Langlands conjecture over positive characteristic
Laumon pas Laumont! 
Jan 24 
answered  Text for Algebraic Number Theory 
Dec 18 
revised 
Psi operator on PhiGamma modules
added 325 characters in body 
Dec 18 
answered  Psi operator on PhiGamma modules 
Dec 7 
awarded  Nice Answer 
Nov 26 
comment 
maximal abelian extension of quadratic extension of $\mathbb Q_p$
You can always take $f(T)=\pi T + T^q$ where $\pi$ is a uniformizer and $q$ is the cardinality of the residue field. Any power series satisfying the conditions that you wrote will do. 
Oct 16 
comment 
De Rham cohomology of formal groups
@Jon Beardsley: thank you! 
Oct 1 
comment 
$(\varphi, \Gamma)$modules of finite height
"Since representations that aren't of finite height do exist": take a semistable noncrystalline representation. 
Sep 10 
comment 
Why does $H^i(X_{ét},\mathbb{Q}_p)$ have a HodgeTate structure?
As Keerthi pointed out, it's after you tensor by Cp that the powers of the cyclo char appear. But a statement like that is true for any Galois repn V by Sen's theory. What is specific to the étale cohomology is that it's integer powers of the cyclo char that appear. This is where you use the geometric input. As to why this is so... 
Aug 28 
awarded  Nice Answer 