Teichmueller dynamics and the birational geometry of moduli space

Teichmueller 动力学和模空间双有理几何

• 批准号: DE220100918
• 负责人: Dr Scott Mullane
• 金额: $ 30.64万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2023
• 资助国家: 澳大利亚
• 起止时间: 2023-10-15 至 2026-10-14
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE220100918
• 关键词: Teichmueller; dynamics; birational; geometry; moduli

The project aims to leverage recent cutting-edge advances in the area of Teichmueller dynamics to answer longstanding open questions from algebraic geometry on the moduli space of curves, an object with deep connections to many diverse areas of science including quantum gravity and theoretical physics. The project expects to generate new theories and increased understanding in both areas through the innovation of relating these perspectives, as well as uncovering new connections between the viewpoints. Further benefits should include building international collaborations and the contribution of this diverse perspective to the growing algebraic geometry community in Australia and to mathematics and related scientific fields more generally.

该项目旨在利用Teichmueller Dynamics领域的最新进步，以回答来自代数几何形状的长期开放问题，这是曲线模型空间的，这是与许多科学领域的深度连接，包括量子引力和理论物理学。该项目预计，通过关联这些观点的创新以及发现观点之间的新联系，可以在这两个领域中产生新的理论并提高理解。进一步的好处应包括建立国际合作以及这种潜水员的观点对澳大利亚不断增长的代数几何社区以及对数学和相关科学领域的贡献。