Journal of the Ramanujan Mathematical Society

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Endoscopic Transfer Between Eigenvarieties for Definite Unitary Groups


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1 Indian Institute of Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune-411008, India
     

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In this paper, we extend the endoscopic transfer of definite unitary group U(n), which sends a pair of automorphic forms of U(n1),U(n2) to an automorphic form of U(n1+n2), to finite slope p-adic automorphic forms for definite unitary groups by constructing a rigid analytic map between eigenvarieties εn1×εn2→ε(n1+n2), which at classical points interpolates endoscopic transfer map.
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  • Endoscopic Transfer Between Eigenvarieties for Definite Unitary Groups

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Authors

Dipramit Majumdar
Indian Institute of Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune-411008, India

Abstract


In this paper, we extend the endoscopic transfer of definite unitary group U(n), which sends a pair of automorphic forms of U(n1),U(n2) to an automorphic form of U(n1+n2), to finite slope p-adic automorphic forms for definite unitary groups by constructing a rigid analytic map between eigenvarieties εn1×εn2→ε(n1+n2), which at classical points interpolates endoscopic transfer map.