Journal of the Ramanujan Mathematical Society
Volume 31, Issue 3, September 2016 pp. 235–255.
Endoscopic transfer between eigenvarieties for definite unitary groups
Authors:
Dipramit Majumdar
Author institution:Indian Institute of Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune 411 008, India
Summary:
In this paper, we extend the endoscopic transfer of definite
unitary group U(n), which sends a pair of automorphic forms of
U(n {1}), U(n {2}) to an automorphic form of U(n {1} + n {2}), to
finite slope p-adic automorphic forms for definite unitary
groups by constructing a rigid analytic map between eigenvarieties
E n {1} × E {n {2}} →
E {(n {1} + n {2})}, which at classical points
interpolates endoscopic transfer map.
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