Deformations of Galois representations and exceptional monodromy

• 成果类型: Article
• 署名作者: Patrikis, Stefan
• 署名单位: Utah System of Higher Education; University of Utah
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-015-0635-3
• 发表日期: 2016
• 页码: 269-336
• 关键词: automorphy

摘要

For any simple algebraic group G of exceptional type, we construct geometric -adic Galois representations with algebraic monodromy group equal to G, in particular producing the first such examples in types and . To do this, we extend to general reductive groups Ravi Ramakrishna's techniques for lifting odd two-dimensional Galois representations to geometric -adic representations.