Eigenvarieties for reductive groups

• 成果类型: Article
• 署名作者: Urban, Eric
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2011.174.3.7
• 发表日期: 2011
• 页码: 1684-1784
• 关键词: p-adic families; selberg trace formula; totally-real fields; modular-forms; arithmetic groups; Galois representations; eisenstein cohomology; automorphic-forms; hecke algebras; deformations

摘要

We develop the theory of overconvergent cohomology introduced by G. Stevens, and we use it to give a construction of eigenvarieties associated to any reductive group G over Q such that G(R) has discrete series. We prove that the so-called eigenvarieties are equidimensional and generically flat over the weight space.