Bounds for the multiplicities of cohomological automorphic forms on GL2

• 成果类型: Article
• 署名作者: Marshall, Simon
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.175.3.13
• 发表日期: 2012
• 页码: 1629-1651
• 关键词: cusp forms; REPRESENTATIONS

摘要

We prove a power saving for the dimension of the space of cohomological automorphic forms of fixed level and growing weight on GL(2) over any number field that is not totally real. Our proof involves the theory of p-adically completed cohomology developed by Calegari and Emerton and a bound for the growth of coinvariants in certain finitely generated noncommutative Iwasawa modules.