Collaborative Research: Deformations of Geometric Structures in Current Mathematics

该项目将进行为期两周的会议，主题为“当代数学中几何结构的变形”，将于2022年5月3日至6日在哥伦比亚大学和2022年5月9日至12日在哈佛大学数学科学与应用中心（CMSA）举办。本次活动将汇集来自各个领域的早期职业研究人员和世界知名数学家，包括复分析，辛几何，微分几何和偏微分方程。这次活动将为年轻的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，并与各种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数学发展中一个非常活跃的主题，来自许多独立来源的思想注入，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计数几何、Gromov-Witten理论、辛几何以及模问题的重大进展，并发现了新的几何和拓扑不变量。会议将举办一系列广泛的会谈，从专家在各个领域的这些想法已经影响。几何结构的变形是由已故的哥伦比亚大学教授仓西正武开创的，他在局部完全变形方面的里程碑式的作品和他介绍的许多新技术。会议网站可以在www.example.com上找到https://cmsa.fas.harvard.edu/kuranish-conference/This奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。

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.