Endoscopic transfer between eigenvarieties for definite unitary groups

2014/10/17 by Dipramit Majumdar, Majumdar, Dipramit
Mathematics · #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1410.4649

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 × E_n → E_m+n, which at classical points interpolates endoscopic transfer map.

Related

• Endoscopic transfer for unitary Lie algebras
• Endoscopy and the automorphic tensor product on the unitary group
• Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences
• Slopes in eigenvarieties for definite unitary groups
• Endoscopy for unitary symmetric spaces