p-adic Asai transfer

Baskar Balasubramanyam; Dipramit Majumdar

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arXiv · 1702.00919

p-adic Asai transfer

Baskar Balasubramanyam·Dipramit Majumdar

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Abstract

Let $K/Q$ be a real quadratic field. Given an automorphic representation $\pi$ for $GL_{2}/K$, let $As^{\pm}(\pi)$ denote the plus/minus Asai transfer of $\pi$ to an automorphic representation for $GL_{4}/Q$. In this paper, we construct a rigid analytic map from the universal eigenvariety of $GL_{2}/K$ to the universal eigenvariety of $GL_{4}/Q$, which at nice classical points interpolate this Asai transfer.

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Baskar Balasubramanyam, Dipramit Majumdar. 2017-02-03. p-adic Asai transfer. https://arxiv.org/abs/1702.00919

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