Conference: Combinatorial and Analytical methods in low-dimensional topology

会议：低维拓扑中的组合和分析方法

• 批准号: 2349401
• 负责人: Francesco Lin
• 金额: $ 2.6万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-04-01 至 2026-03-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2349401&HistoricalAwards=false
• 关键词: Conference; Combinatorial; Analytical; methods; low

This NSF award will support the participation of U.S. based participants to the conference “Combinatorial and Gauge theoretical methods in low-dimensional topology and geometry”, to be held at Centro di Ricerca Matematica Ennio De Giorgi in Pisa (Italy) in June 3-7, 2024. The conference will bring together experts in combinatorial and analytical techniques in low-dimensional topology with the aim of exploring new interactions between the two sets of tools. In particular, the grant will fund the participation of young researchers with the concrete goal of fostering new international collaborations.The past few decades have seen a tremendous advancement in our understanding of low-dimensional topology, and several of the most original results have come to light when the tools from analysis and combinatorics are used in combination. The conference will explore new developments in topics at this interface such as: knot theory, braid groups, and mapping class groups; constructions and obstructions in 4-dimensional topology; classification questions in contact and symplectic geometry; singularity theory and its relation with Floer theory. More details can be found on the conference website: http://www.crm.sns.it/event/519/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.

This NSF award will support the participation of U.S. based participants to the conference “Combinatorial and Gauge theoretical methods in low-dimensional topology and geometry”, to be held at Centro di Ricerca Matematica Ennio De Giorgi in Pisa (Italy) in June 3-7, 2024. The conference will bring together experts in combinatorial and analytical techniques in low-dimensional topology with the aim of探索两组工具之间的新互动。特别是，这笔赠款将资助年轻研究人员的参与，以促进新的国际合作的具体目标。过去几十年来，我们对低维拓扑的理解有了很大的进步，当将分析和组合的工具组合使用时，最初的几个结果就已经揭示了。会议将在此界面上探讨主题的新发展，例如：结理论，编织组和映射课程组；四维拓扑中的构造和物体；接触和符号几何形状中的分类问题；奇异理论及其与浮子理论的关系。可以在会议网站上找到更多详细信息：http：//www.crm.sns.it/event/519/519/this Award反映了NSF的法定任务，并通过使用基金会的知识分子和更广泛的影响评估审查标准，认为通过评估来获得珍贵的支持。