Journal of the Ramanujan Mathematical Society

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p-Adic Asai Transfer


Affiliations
1 Department of Mathematics, Indian Institute of Science Education and Research Pune, Dr. Homi Bhabha Road, Pashan, Pune 411 008, India
2 Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India
     

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Let K/ℚ be a real quadratic field. Given an automorphic representation π for GL2/K, let As±(π) denote the plus/minus Asai transfer of π to an automorphic representation for GL4/ℚ. In this paper, we construct a rigid analytic map from a subvariety of the universal eigenvariety of GL2/K to an eigenvariety of GL4/ℚ, which at nice classical points interpolate this Asai transfer.
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  • p-Adic Asai Transfer

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Authors

Baskar Balasubramanyam
Department of Mathematics, Indian Institute of Science Education and Research Pune, Dr. Homi Bhabha Road, Pashan, Pune 411 008, India
Dipramit Majumdar
Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India

Abstract


Let K/ℚ be a real quadratic field. Given an automorphic representation π for GL2/K, let As±(π) denote the plus/minus Asai transfer of π to an automorphic representation for GL4/ℚ. In this paper, we construct a rigid analytic map from a subvariety of the universal eigenvariety of GL2/K to an eigenvariety of GL4/ℚ, which at nice classical points interpolate this Asai transfer.

References