Conference: Combinatorial and Analytical methods in low-dimensional topology

这项NSF奖将支持美国参与者参加“低维拓扑和几何中的组合和规范理论方法”会议，该会议将于2024年6月3日至7日在意大利比萨的Ennio De Giorgi数学中心举行。会议将汇集低维拓扑组合和分析技术方面的专家，目的是探索两套工具之间的新相互作用。特别是，该基金将资助年轻研究人员的参与，其具体目标是促进新的国际合作。在过去的几十年里，我们对低维拓扑的理解取得了巨大的进步，当分析学和组合学的工具结合使用时，一些最原始的结果已经浮出水面。会议将探讨这一领域的新发展，如：结理论、编织群和映射类群；四维拓扑结构与障碍物；接触几何与辛几何中的分类问题奇点理论及其与弗洛尔理论的关系。更多细节可以在会议网站上找到：http://www.crm.sns.it/event/519/This该奖项反映了美国国家科学基金会的法定使命，并通过基金会的智力价值和更广泛的影响审查标准进行评估，认为值得支持。

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.