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: 1916752
• 负责人: AUTUMN KENT
• 金额: $ 4万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-07-01 至 2021-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1916752&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 14 日在密歇根州安娜堡市的密歇根大学举行，会议将重点展示来自不同社区的初级和高级数学家在几何、拓扑和动力学方面的开创性工作。会议还将推动社区的发展，特别强调通过网络、专业发展机会和接触最先进的科学内容来刺激年轻数学家的成长。该科学项目的组织目的既是为了促进来自代表性不足群体的数学家之间的交流，也是为了弥合几何、拓扑和动力学领域内及其周围相邻学科之间的分歧。低维拓扑与辛几何和双曲几何之间存在着紧密的联系。这些学科又与 Teichmueller 理论、动力学和代数联系在一起，微分几何和代数拓扑渗透到所有这些子领域。这些不同领域之间存在着许多深刻的联系，本次会议旨在探索这些联系并建立新的联系。本次会议致力于低维拓扑、几何和动力学之间的新发展和相互作用。该课程涵盖几何和代数拓扑、双曲和辛几何、曲面几何和拓扑、Teichmueller 理论、几何群论和动力学。重点涵盖的主题包括：3-流形上的双曲结构与其基本群的代数之间的关系； 3维和4维几何拓扑与共边和协调代数之间的关系；复合曲线等组合结构对Teichmueller空间几何的影响；辛流形的基础和几何；代数、算术和动力学分析的相互作用。会议网页为 http://www.math.wisc.edu/~kent/LG&TBQ.html 该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。