Change of weights for locally analytic representations of $\rm{GL}_2(\mathbb{Q}_p)$

Yiwen Ding

Change of weights for locally analytic representations of $\rm{GL}_2(\mathbb{Q}_p)$

Number Theory 2023-07-11 v1 Representation Theory

Authors: Yiwen Ding

Abstract

Let $D_1\subset D_2$ be $(\varphi, \Gamma)$ -modules of rank $2$ over the Robba ring, and $\pi(D_1)$ , $\pi(D_2)$ be the associated locally analytic representations of $\rm{GL}_2(\mathbb{Q}_p)$ via the $p$ -adic local Langlands correspondence. We describe the relation between $\pi(D_1)$ and $\pi(D_2)$ .

Keywords

locally analytic representations gl_2(q_p) phi-gamma modules robba ring p-adic local langlands

Cite

@article{arxiv.2307.04332,
  title  = {Change of weights for locally analytic representations of $\rm{GL}_2(\mathbb{Q}_p)$},
  author = {Yiwen Ding},
  journal= {arXiv preprint arXiv:2307.04332},
  year   = {2023}
}

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19 pages

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