Homotopical structures in algebraic, analytic, and equivariant geometry

代数、解析和等变几何中的同伦结构

• 批准号: DP150103442
• 负责人: Prof Finnur Larusson
• 金额: $ 17.46万
• 依托单位: The University of Adelaide
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2015
• 资助国家: 澳大利亚
• 起止时间: 2015-01-01 至 2020-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP150103442
• 关键词: Homotopical; structures; algebraic; analytic; equivariant

This is a project for fundamental research in pure mathematics. It is focused on an emerging subfield of complex geometry concerned with spaces and maps that exhibit exceptional flexibility properties, which often go hand-in-hand with a high degree of symmetry. The project aims to develop the foundations of this new area, solve several open problems, and pursue interconnections with and applications to algebraic geometry, complex analysis, geometric invariant theory, and topology.

这是一个纯数学基础研究项目。它专注于复杂几何的一个新兴子领域，涉及表现出特殊灵活性的空间和地图，这些特性通常与高度对称性密切相关。该项目旨在发展这一新领域的基础，解决几个开放的问题，并追求与代数几何，复分析，几何不变理论和拓扑学的相互联系和应用。