Filippo Alberto Edoardo

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2,396 reputation
927
bio website perso.univ-st-etienne.fr/…
location Saint-Etienne, France
age 32
visits member for 2 years, 11 months
seen 2 hours ago

I am currently a Maître de Conférences in Saint-Étienne, in France. I am particularly interested in Number Theory and Arithmetic Geometry.


2h
reviewed Approve suggested edit on Decomposition of symmetric homogeneous polynomials
Sep
10
comment Canonical presentation of pro-modules over pro-rings
Ah, I forgot your condition that $M_{i+1}\otimes _{A_{i+1}}A_i\cong M_i$ - indeed it does not hold in my "counterexample".
Sep
10
comment Canonical presentation of pro-modules over pro-rings
@Martin: Actually, I do not see why you say that the $\alpha_j$'s are surjective. The counterexample I had in mind to $\alpha_h$ being an isomorphism comes from Iwasawa theory, but in general in that case one has neither surjectivity nor injectivity. Jence I wonder if it fits - therefore, to start with, I am trying (without success) to understand why in your setting should surjectivity be clear.
Sep
10
comment Canonical presentation of pro-modules over pro-rings
A part from the geometric motivation, why do you introduce the category $\mathcal{M}$? I feel you are asking whether you can recover the $j$-th piece of a projective system from its projective limit, under thw assumption that transition maps at level of ring are onto. Is that right?
Sep
9
awarded  Citizen Patrol
Sep
7
comment Pseudonyms of famous mathematicians
Yes, it is indeed.
Sep
4
comment explicit uniformizer for the false Tate extension
As for Q1 I was still thinking about it. As a first approach I tried to pin down a uniformizer $\varpi$ of $K$ such that $M\subseteq L_{\varpi,p^n}$ (in Lubin-Tate's notation). My second step would be to understand how does $\mathrm{Gal}(K/\mathbb{Q}_p)$ act on $G_{\varpi,p^n}$ in order to identify the stable $\mathbb{Z}/p^n\mathbb{Z}$-lines with respect to this action, since $\mathrm{Gal}(M/K)$ would be one of those. But I am stuck on the first point...
Sep
4
revised Can a sum of roots of unity be an integer?
edited tags
Sep
4
revised explicit uniformizer for the false Tate extension
added 3 characters in body
Sep
3
answered explicit uniformizer for the false Tate extension
Sep
1
comment Are there some other notions of “curvature” which measure how space curves?
Extremely nice and enlighting answer. Do you have some reference where the whole story is treated the way you present it, or does it come out of your experience (and then: why don't you turn it into a "reference"?).
Sep
1
reviewed Edit suggested edit on An interesting double coset in the theory of automorphic forms
Sep
1
reviewed Approve suggested edit on Failure of Fredholm property of elliptic PDE systems
Aug
30
reviewed Approve suggested edit on Coloring summands of given n-partition with given weights of colors
Aug
29
answered Ideal classes fixed by the Galois group
Aug
20
reviewed Approve suggested edit on Publishing problem
Aug
17
awarded  Custodian
Aug
17
reviewed Approve suggested edit on Periodic Orbit property
Jul
17
comment How frequently is 3 a cubic residue mod primes in an arithmetic progression?
Nice, but I do not understand why you chek that $2$, rather than $3$, be a cubic non-residue.
Jul
9
reviewed Approve suggested edit on Pullback map in homology