Enumerative Problems in Algebraic Geometry

代数几何中的枚举问题

• 批准号: 1951097
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1951097
• 关键词: Enumerative; Problems; Algebraic; Geometry

I am working on enumerative problems in algebraic geometry, with a connection to mirror symmetry. In particular I aim to understand the formal properties and behaviour of logarithmic Gromov-Witten invariants and the related quantum cohomology ring. I have approached this using a modification of logarithmic deformation theory. These invariants have been used in the construction of mirror by Gross and Siebert, and I have also been working to understand their program.

我正在研究代数几何中的计数问题，与镜像对称有关。特别是，我的目标是理解对数Gromov-Witten不变量和相关的量子上同调环的形式性质和行为。我用对数变形理论的一种修正来探讨这个问题。格罗斯和西伯特在构造镜像时使用了这些不变量，我也一直在努力理解他们的程序。