Yiwen Ding

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math.NT2025

Hodge filtration and crystalline representations of $GL_{n}$

Christophe Breuil, Yiwen Ding

Let $p$ be a prime number, $n$ an integer $\geq 2$ and $I ¨ $ an $n$ -dimensional automorphic $p$ -adic Galois representation (for a compact unitary group) such that $r:=Ï\vert_{\math…

math.NT2025

$p$ -adic Hodge parameters in the crystabelline representations of $GL_{n}$

Yiwen Ding

Let $K$ be a finite extension of $Q_{p}$ , and $I ¨ $ be an $n$ -dimensional (non-critical generic) crystabelline representation of the absolute Galois group of $K$ of regular H…

math.NT2024

$p$ -adic Hodge parameters in the crystabelline representations of $GL_{3} (Q_{p})$

Yiwen Ding

We build a one-to-one correspondence between $3$ -dimensional (generic) crystabelline representations of the absolute Galois group of $Q_{p}$ and certain locally analytic rep…

math.NT2024

Towards the wall-crossing of locally $Q_{p}$ -analytic representations of $GL_{n} (K)$ for a $p$ -adic field $K$

Yiwen Ding

Let $K$ be a finite extension of $Q_{p}$ . We study the locally $Q_{p}$ -analytic representations $I ¨ $ of $GL_{n} (K)$ of integral weights that appear in spaces o…

Hodge filtration and crystalline representations of GLn​

p-adic Hodge parameters in the crystabelline representations of GLn​

p-adic Hodge parameters in the crystabelline representations of GL3​(Qp​)

Towards the wall-crossing of locally Qp​-analytic representations of GLn​(K) for a p-adic field K

Hodge filtration and crystalline representations of $GL_{n}$

$p$ -adic Hodge parameters in the crystabelline representations of $GL_{n}$

$p$ -adic Hodge parameters in the crystabelline representations of $GL_{3} (Q_{p})$

Towards the wall-crossing of locally $Q_{p}$ -analytic representations of $GL_{n} (K)$ for a $p$ -adic field $K$