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

会议将于2019年6月10日至6月14日在密歇根州安阿伯的密歇根大学举行，它将突出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。会议还将为社区的发展提供种子，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。科学计划的组织既要促进数学家之间的沟通，从一类代表性不足的群体，并弥合相邻学科之间的分歧和周围的几何，拓扑学和动力学领域。低维拓扑与辛几何和双曲几何之间有着密切的联系。这些主题反过来又与Teichmueller理论，动力学和代数有关，微分几何和代数拓扑渗透到所有这些子领域。这些不同的领域之间有许多深刻的关系，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，几何和动力学之间的新发展和相互作用。该计划跨越几何和代数拓扑，双曲和辛几何，几何和拓扑的表面，Teichmueller理论，几何群论和动力学。主要内容包括：三维流形上的双曲结构与其基本群的代数之间的关系;三维和四维几何拓扑与配边和协调代数之间的关系;组合结构的影响，如曲线复形对Teichmueller空间几何的影响;辛流形的基础和几何;动力学中代数、算术和分析的相互作用。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知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

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.