$p$-adic Hodge parameters in the crystabelline representations of $\mathrm{GL}_3(\mathbb{Q}_p)$

Yiwen Ding

$p$-adic Hodge parameters in the crystabelline representations of $\mathrm{GL}_3(\mathbb{Q}_p)$

Number Theory 2024-05-24 v2 Representation Theory

Authors: Yiwen Ding

Abstract

We build a one-to-one correspondence between $3$ -dimensional (generic) crystabelline representations of the absolute Galois group of $\mathbb{Q}_p$ and certain locally analytic representations of $\mathrm{GL}_3(\mathbb{Q}_p)$ . We show that the correspondence can be realized in subspaces of $p$ -adic automorphic representations.

Keywords

p-adic Hodge theory crystalline representations Galois group GL3 automorphic representations

Cite

@article{arxiv.2404.16657,
  title  = {$p$-adic Hodge parameters in the crystabelline representations of $\mathrm{GL}_3(\mathbb{Q}_p)$},
  author = {Yiwen Ding},
  journal= {arXiv preprint arXiv:2404.16657},
  year   = {2024}
}

Comments

30 pages, correct the definition of higher intertwining pairs

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