Groups, piecewise linear representations, and linear 2-representations

群、分段线性表示和线性 2-表示

• 批准号: FT180100069
• 负责人: Prof Anthony Licata
• 金额: $ 67.5万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: ARC Future Fellowships
• 财政年份: 2019
• 资助国家: 澳大利亚
• 起止时间: 2019-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/FT180100069
• 关键词: Groups; piecewise; linear; representations

This project aims to address fundamental questions at the interface of two central areas of modern mathematics, geometric group theory and higher representation theory. Higher representation theory is a relatively new field, but its tools have already had a tremendous impact on mathematics. The project is expected to use these tools to address outstanding questions in geometric group theory. The expected outcomes of this project include resolutions of open problems in the theory of Artin groups and the creation of a new subject, the dynamical theory of two-linear groups.

这个项目旨在解决现代数学的两个中心领域--几何群论和更高表示理论--之间的基本问题。高等表示理论是一个相对较新的领域，但它的工具已经对数学产生了巨大的影响。该项目预计将使用这些工具来解决几何群论中的突出问题。这个项目的预期成果包括解决Artin群理论中的公开问题，以及创建一门新的学科--双线性群的动力学理论。