# Journal of the Ramanujan Mathematical Society

Volume 34, Issue 3, September 2019 pp. 305–324.

p-adic Asai transfer

**Authors**:
Baskar Balasubramanyam and Dipramit Majumdar

**Author institution:**Department of Mathematics, Indian Institute of Science Education and Research Pune, Dr. Homi Bhabha Road, Pashan, Pune 411 008, India

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

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