Smoky Mountains / Great Plains Geometry Conference 2016

该奖项为2016年8月18日至12日在田纳西州汤森德举行的烟雾大平原几何会议提供部分参与者支持。会议的主题是几何分析和度量几何的现代发展。这两个密切相关的领域近年来在推动数学的几个领域方面发挥了很大作用。这些贡献包括数学中许多非常著名的悬而未决的问题的解决方案，不仅在几何领域，而且在数论、拓扑学和其他领域。例如，有100年历史的庞加莱猜想最近的解在很大程度上依赖于几何分析和度量几何的方法。这一数学领域也适用于物理、化学、工程和大数据分析。会议鼓励和支持在数学中代表性不足的群体的成员参与。会议代表的技术领域是全局和比较黎曼几何、特殊黎曼度量(爱因斯坦、利玛窦孤子和推广)、等距群作用、正曲率、度量几何和亚历山大几何。这次会议有八位全体演讲者和大约十位职业生涯早期数学家的简短演讲。会议活动将汇集顶尖专家、青年研究人员和学生，促进传播最近的研究进展，并讨论未来的方向和有待解决的问题。这些互动预计将导致在会议上提出的更专门的主题之间的相互促进，并导致几何分析和公制几何的未来进展。会议网页可在http://sgpc.math.utk.edu/.上查阅。

This award provides partial participant support for the Smoky Great Plains Geometry Conference, held August 18-12, 2016, in Townsend, Tennessee. The conference centers on modern developments in geometric analysis and metric geometry. These two closely related fields have played a large role in recent years in advancing several areas of mathematics. Those contributions include the solutions of a number of very famous unsolved problems in mathematics, not only in geometry but also in number theory, topology, and other areas. For example, recent solution of the 100-year-old Poincaré Conjecture relied heavily on methods from geometric analysis and metric geometry. This area of mathematics also has applications to physics, chemistry, engineering, and big data analysis. The conference encourages and supports participation by members of groups underrepresented in mathematics.The technical areas represented in the conference are global and comparison Riemannian geometry, special Riemannian metrics (Einstein, Ricci solitons, and generalizations), isometric group actions, positive curvature, metric geometry, and Alexandrov geometry. The conference features eight plenary speakers and approximately ten shorter talks by early-career mathematicians. The conference activities will bring together leading experts and young researchers and students, facilitating the dissemination of recent research progress and discussion of future directions and open problems. These interactions are expected to lead to cross-fertilization between the more specialized topics presented at the conference and to future progress in both geometric analysis and metric geometry. The conference webpage is available at http://sgpc.math.utk.edu/.