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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 ...
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(...
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 ...
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 ...
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 ...