Conference in Geometry, Topology, and Dynamics: Celebrating the Work of Diverse Mathematicians

几何、拓扑和动力学会议：庆祝不同数学家的工作

• 批准号: 2139125
• 负责人: AUTUMN KENT
• 金额: $ 4万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2021
• 资助国家: 美国
• 起止时间: 2021-04-01 至 2024-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2139125&HistoricalAwards=false
• 关键词: Conference; Geometry; Topology; Dynamics; Celebrating

The conference is to held at the University of Michigan in Ann Arbor, Michigan from June 10-June14, 2019 and it will highlight the pioneering works of junior and senior mathematicians in geometry, topology, and dynamics from diverse communities. The conference will also seed the development of a community, with particular emphasis on stimulating the growth of young mathematicians via networking, professional development opportunities, and exposure to state of the art scientific content. The scientific program is organized both to foster communication between mathematicians from a class of underrepresented groups and to bridge divides between adjacent subjects in and around the areas of geometry, topology and dynamics. There are strong ties between low-dimensional topology and both symplectic and hyperbolic geometry. These subjects are in turn tied to Teichmueller theory, dynamics, and algebra, and differential geometry and algebraic topology permeate all of these subfields. There are many deep relationships between these different fields, and the conference aims to explore these ties and create new connections.The conference is devoted to new developments and interactions between low-dimensional topology, geometry, and dynamics. The program spans geometric and algebraic topology, hyperbolic and symplectic geometry, the geometry and topology of surfaces, Teichmueller theory, geometric group theory, and dynamics. Highlights of topics covered include: the relationship between the hyperbolic structures on 3-manifolds and the algebra of their fundamental groups; the relationship between 3- and 4-dimensional geometric topology and the algebra of cobordism and concordance; the influence of combinatorial structures such as the complex of curves on the geometry of Teichmueller space; the foundations and geometry of symplectic manifolds; the interaction of algebra, arithmetic, and analysis in dynamics. The conference web page is http://www.math.wisc.edu/~kent/LG&TBQ.htmlThis 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.

该会议将于2019年6月10日至6月10日在密歇根州安阿伯市的密歇根大学举行，并将重点介绍来自不同社区的几何学，拓扑，拓扑和动态的初级和高级数学家的开创性作品。会议还将播种一个社区的发展，特别是通过网络，专业发展机会以及对最先进的科学内容的暴露来刺激年轻数学家的成长。科学计划既是为了促进一类代表性不足的群体的数学家之间的沟通，又是在几何，拓扑和动力学领域和周围桥接相邻受试者之间的分裂。低维拓扑与符号和双曲线几何形状之间存在牢固的联系。这些主题又与Teichmueller理论，动力学和代数相关，差异几何形状和代数拓扑渗透到所有这些子场中。这些不同的领域之间有许多深厚的关系，会议旨在探索这些联系并建立新的联系。会议致力于低维拓扑，几何学和动态之间的新发展和相互作用。该程序跨越几何和代数拓扑，双曲和符号几何形状，表面的几何和拓扑结构，Teichmueller理论，几何组理论和动力学。涵盖的主题的亮点包括：3个manifolds上的双曲结构与其基本群体的代数之间的关系； 3-和4维几何拓扑之间的关系与恢复和一致性的代数之间的关系；组合结构（例如曲线复合物）对Teichmueller空间几何形状的影响；符号歧管的基础和几何形状；动力学中代数，算术和分析的相互作用。会议网页是http://www.math.wisc.edu/~kent/lg&tbq.htmlthis Award反映了NSF的法定任务，并被认为值得通过基金会的知识分子优点和更广泛的影响审查标准通过评估来进行评估。