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: 2211916
• 负责人: Tristan Collins
• 金额: $ 1.53万
• 依托单位: Massachusetts Institute of Technology
• 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 2024-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2211916&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.

该项目将举行为期两周的会议，讨论“当前数学中的几何结构变形”，将于2022年5月3日至6日在哥伦比亚大学举行，并在哈佛大学的数学科学和应用中心（CMSA）在5月9-12日在哈佛大学的数学科学和应用中心（CMSA），从2022年开始。差分几何和部分微分方程。 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 理论。这些想法导致了枚举几何形状，格罗莫夫（Gromov-Witten）理论，象征性几何形状以及模量问题以及发现新的几何和拓扑不变性的显着进步。该会议将在各个领域的专家举办各种各样的谈判，这些领域是这些想法一直令人满意的。哥伦比亚大学已故教授的Masatake Kuranishi教授率先启用了几何结构的变形，他的具有里程碑意义的作品在当地完全变形和他引入的许多新颖技术方面。会议网站可以在https://cmsa.fas.harvard.edu/kuranish-conference/this Award上找到反映NSF的法定任务，并被认为是通过基金会的知识分子的智力优点和更广泛的影响来通过评估来支持的。