Functoriality, Smith theory, and the Brauer homomorphism

• 成果类型: Article
• 署名作者: Treumann, David; Venkatesh, Akshay
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2016.183.1.4
• 发表日期: 2016
• 页码: 177-228
• 关键词: reductive groups; modular-forms; REPRESENTATIONS; COHOMOLOGY; GROWTH; characters; HOMOLOGY; torsion

摘要

If sigma is an automorphism of order p of the semisimple group G, there is a natural correspondence between mod p cohomological automorphic forms on G and G(sigma). We describe this correspondence in the global and local settings.