Conference: Combinatorial and Analytical methods in low-dimensional topology

该NSF奖项将支持美国参与者参加将于2024年6月3日至7日在比萨（意大利）Centro di Ricerca Matematica Ennio De Giorgi举行的“低维拓扑和几何中的组合和规范理论方法”会议。会议将汇集低维拓扑学组合和分析技术的专家，旨在探索两套工具之间的新互动。在过去的几十年里，我们对低维拓扑学的理解有了巨大的进步，当分析和组合学的工具结合使用时，一些最原始的结果已经出现。会议将探讨新的发展主题在这个接口，如：结理论，编织群，映射类群体;建设和障碍，在4维拓扑结构;分类问题的接触和辛几何;奇异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 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.