All Questions
Tagged with galois-representations p-adic-analysis
11 questions
3
votes
0
answers
335
views
A question on the Robba ring
Notation is as in the question:
https://math.stackexchange.com/questions/4090045/some-questions-about-the-robba-ring.
We define a new operator over the Robba ring as follows. Put $$c=\frac{pE(u)}{E(0)}...
- 166
4
votes
1
answer
200
views
Smooth intertwining operators
Let $V$ be a crystalline irreducible representation of the absolute Galois group of $\mathbb{Q}_p$ with distinct Hodge Tate weights $(0,k-1), k \in \mathbb{Z}_{\geq 2}$.
Then $V$ is uniquely ...
- 685
2
votes
1
answer
163
views
Locally analytic vectors of a quotient space
My question here is in connection with one of my previous question
"A definition of a (amalgamated) direct sum"
Following the notations there, my question is:
Why the locally analytic vectors of $B(...
- 685
4
votes
1
answer
302
views
A definition of a (amalgamated) direct sum
I am wondering about a definition of a direct sum in page $31$ of this paper by R. Liu.
I am following the notations in page $31$ of the above paper. Let $V$ be a crystalline irreducible ...
- 685
2
votes
1
answer
367
views
p-adic representations of $GL_2(\mathbb{Q}_p)$
Let $L$ be a finite extension of $\mathbb{Q}_p$. Colmez defines here
the trainguline representations which are extensions of Robba rings of dimension $1$. Then, in this paper he contructs the ...
- 685
1
vote
1
answer
259
views
Logarithm function on the Robba ring $\mathcal{R}_L$ and some properties of $\mathcal{R}_L$
I am reading some of Colmez papers about $(\varphi,\Gamma)$-modules over the Robba ring $\mathcal{R}_L$, where $L$ is a finite extension of $\mathbb{Q}_p$. Now I would like to understand this ring ...
- 37
8
votes
2
answers
1k
views
P-adic representations
Hi,
I am reading about p-adic representations from Fontaine's book which can be found at http://staff.ustc.edu.cn/~yiouyang/research.html. On page 145
where they prove Proposition 5.24 which is ...
- 995
2
votes
1
answer
372
views
Terminology-history of p-adic representations
Where appears for the first time the term Hodge-Tate representation.
Can i find somewhere explanation of the terminology Hodge-Tate, Derham etc. for representations and Fontaine's rings.
- 23
6
votes
0
answers
1k
views
a naive question about p-adic local monodromy theorem
The question is about whether one can view the p-adic local monodromy theorem as the quasi-unipotence of some monodromy operator.
it is known that the classical local monodromy theorem (i.e. for ...
- 313
10
votes
1
answer
1k
views
Can an etale (phi, Gamma) module be an extension of non-etale ones?
This question is about p-adic representations of $\mathrm{Gal}(\overline{\mathbb{Q}}_p / \mathbb{Q}_p)$ and $(\varphi, \Gamma)$-modules. By theorems of Fontaine, Cherbonnier-Colmez and Kedlaya, the ...
- 37k
7
votes
3
answers
2k
views
Free subquotient of Galois representations coming from Hida theory
Let $\mathbf{T}$ be the reduced nearly ordinary Hecke algebra of level $N$ of Hida theory for $\operatorname{GL}_{2}$ over $\mathbb{Q}$ (or more generally over a totally real field $F$). Then $\mathbf{...
- 10.9k