Endoscopic transfer between eigenvarieties for definite unitary groups
Number Theory
2014-10-20 v1
Abstract
In this paper, we extend the endoscopic transfer of definite unitary group U(n), which sends a pair of automorphic forms of U(m),U(n) to an automorphic form of U(m+n), to finite slope p-adic automorphic forms for definite unitary groups by constructing a rigid analytic map between eigenvarieties E_m \times E_n \to E_{m+n}, which at classical points interpolates endoscopic transfer map.
Keywords
Cite
@article{arxiv.1410.4649,
title = {Endoscopic transfer between eigenvarieties for definite unitary groups},
author = {Dipramit Majumdar},
journal= {arXiv preprint arXiv:1410.4649},
year = {2014}
}
Comments
16 pages