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2017 Georgia International Topology Conference

2017 Georgia International Topology Conference
2017年格鲁吉亚国际拓扑会议
批准号:
1719320
负责人:
Michael Usher
金额:
$9.88万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2017
资助国家:
美国
项目状态:
已结题
起止时间:
2017-05-01 至 2020-04-30

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中文摘要
翻译
这一NSF奖项为即将于2017年5月22日至6月2日在佐治亚大学举行的佐治亚国际拓扑学大会提供部分支持。拓扑学研究“空间”的数学特性,从我们日常生活所在的物理3维空间和4维时空,到更抽象的空间,如机器人的所有可能配置或方程的所有可能解的空间。这次会议将汇集来自世界各地的大约200名拓扑学家,分享最先进的知识,听取一些国际知名专家关于过去八年最重要的研究成果的演讲,并开展新的合作。这次会议有展示开创性工作和激励许多代拓扑学家的历史,今年的迭代将延续这一传统。这笔补助金将资助研究生、早期职业研究人员和演讲者的旅费。2017年会议的目的是将过去几年在几何拓扑学和相关几何方面取得的最重要成果展示给广泛的拓扑学观众,包括大量学生和最近的博士,并向年轻数学家介绍这些结果背后的技术。这些主题将重点介绍令人兴奋的新发展,包括在双曲三维流形、映射类群、辛刚性和柔度、接触拓扑以及纽结、三维流形和四维流形的不变量方面的进展。从历史上看,这次会议在研究生和最近的博士生中引起了极大的兴趣。特别注意邀请拓扑学的年轻研究人员发言。演讲者和演讲主题的结合将为学生和刚毕业的博士提供一个很好的机会来倾听和互动该学科的领导者以及职业生涯初期的成功数学家。作为对研究讲座的补充,还安排了一系列说明性讲座,向年轻数学家介绍会议的主要主题。佐治亚州拓扑学会议以前的会议记录在所有会议记录中都是最好的。按照传统,所有演讲者将被邀请提交文章,会议参与者将被招募来帮助审查提交的文章。会议的网站是:https://research.franklin.uga.edu/topology/content/2017-georgia-international-topology-conference
英文摘要
This NSF award provides partial support for the octennial Georgia International Topology Conference, to be held at the University of Georgia from May 22 to June 2, 2017. Topology studies the mathematical properties of "spaces," from the physical 3-dimensional space and 4-dimensional space-time in which we carry out our daily lives, to much more abstract spaces such as the space of all possible configurations of a robot or all possible solutions to an equation. This conference will bring together about two hundred topologists from around the world to share state of the art knowledge, hear talks from a select group of internationally renowned experts on the most important research results of the past eight years, and develop new collaborations. This conference has a history of showcasing groundbreaking work and inspiring many generations of topologists, and this year's iteration will continue that tradition. This grant will support travel expenses for graduate students, early career researchers and speakers.The purpose of the 2017 conference is to have the most important results obtained during the last few years in geometric topology and related geometry presented to a wide topological audience,including a large number of students and recent PhD's, and to introduce young mathematicians to the techniques underlying these results. The topics will highlight exciting new developments including advances in hyperbolic three-manifolds, mapping class groups, symplectic rigidity and flexibility, contact topology, and invariants of knots, three-manifolds, and four-manifolds. Historically this meeting has generated tremendous interest among graduate students and recent PhD's. Special attention is given to inviting young researchers in topology to speak. The combination of speakers and topics to be presented will offer students and fresh Ph.D.s a great opportunity to listen to and interact with the leaders in the subject as well as with successful mathematicians at the beginning of their careers. To complement the research talks, a series of expository lectures are scheduled that will introduce young mathematicians to the major themes of the conference. Previous proceedings of the Georgia Topology Conference have been among the best of any conference proceedings. Continuing with the tradition, all of the speakers will be invited to submit articles and conference participants will be enlisted to help review submitted articles for the proceedings.The conference website is at: https://research.franklin.uga.edu/topology/content/2017-georgia-international-topology-conference
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