Collaborative Research: Deformations of Geometric Structures in Current Mathematics

合作研究：当代数学中几何结构的变形

• 批准号: 2212148
• 负责人: Duong Phong
• 金额: $ 1.53万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-06-15 至 2023-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2212148&HistoricalAwards=false
• 关键词: Collaborative; Research; Deformations; Geometric; Structures

This project will conduct a two week long conference on the topic of "Deformations of Geometric Structures in Current Mathematics", to be hosted at Columbia University from May 3-6, 2022 and the Center of Mathematical Sciences and Applications (CMSA) at Harvard University from May 9-12, 2022. This event will bring together early career researchers and world renowned mathematicians from a variety of fields, including complex analysis, symplectic geometry, differential geometry and partial differential equations. This event will provide a great opportunity for young mathematicians, and mathematicians from under-represented groups to attend the conference and build relationships and collaborations with leaders in a variety of mathematical fields.Deformations of geometric structures has been an exceptionally active theme in current developments in mathematics, with an infux of ideas from many independent sources, including algebraic geometry, symplectic geometry, partial differential equations, and string theory. The ideas have lead to significant advances in enumerative geometry, Gromov-Witten Theory, symplectic geometry, as well as moduli problems and the discovery of new geometric and topological invariants. The conference will host a wide array of talks from experts in a variety of fields where these ideas have been infuential. Deformations of geometric structures were pioneered by the late Professor Masatake Kuranishi of Columbia University, with his landmark works on locally complete deformations and the many novel techniques which he introduced. The conference website can be found at https://cmsa.fas.harvard.edu/kuranish-conference/This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该项目将于 2022 年 5 月 3 日至 6 日在哥伦比亚大学和哈佛大学数学科学与应用中心 (CMSA) 举办为期两周的会议，主题为“当前数学中的几何结构变形” 2022 年 5 月 9 日至 12 日。本次活动将汇集复分析、辛几何、微分几何和偏微分等多个领域的早期职业研究人员和世界知名数学家方程。此次活动将为年轻数学家和来自代表性不足群体的数学家提供一个很好的机会参加会议，并与各个数学领域的领导者建立关系和合作。几何结构的变形一直是当前发展中一个异常活跃的主题。数学，融合了许多独立来源的思想，包括代数几何、辛几何、偏微分方程和弦理论。这些思想导致了枚举几何、格罗莫夫-维滕理论、辛几何以及模问题和新几何和拓扑不变量的发现的重大进展。会议将举办来自各个领域的专家的广泛演讲，这些观点在这些领域具有影响力。几何结构的变形是由哥伦比亚大学已故教授 Masatake Kuranishi 开创的，他在局部完全变形方面具有里程碑意义的工作，并引入了许多新颖的技术。该会议网站可访问 https://cmsa.fas.harvard.edu/kuranish-conference/ 该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。