Problems in the Langlands Program

朗兰兹纲领中的问题

• 批准号: DE140100633
• 负责人: A/Prof Masoud Kamgarpour
• 金额: $ 27.27万
• 依托单位: The University of Queensland
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2014
• 资助国家: 澳大利亚
• 起止时间: 2014-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE140100633
• 关键词: Problems; Langlands; Program

The Langlands program is an international research program sitting at the interface of number theory, representation theory, algebraic geometry, and mathematical physics. The aim of this project is to prove three conjectures in this program. Settling these conjectures would lead to significant advances in the Langlands program by strengthening connections between this program and the geometry of loop groups, representations of finite groups, and representations of affine Kac-Moody algebras at the critical level.

朗兰兹计划是一个国际性的研究计划，位于数论，表示理论，代数几何和数学物理的界面。这个项目的目的是证明这个程序中的三个猜想。解决这些猜想将通过加强朗兰兹程序与环群几何、有限群表示和仿射Kac-Moody代数在临界水平上的表示之间的联系，导致朗兰兹程序的重大进展。