Program on Topology and Field Theories

拓扑与场论项目

• 批准号: 1239041
• 负责人: Samuel Evens
• 金额: $ 4.5万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-05-01 至 2013-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1239041&HistoricalAwards=false
• 关键词: Program; Topology; Field; Theories

The Center for Mathematics at Notre Dame will run a program on topology from May 21 to June 9 of 2009, including an undergraduate summer school on "Topological invariants in low dimensions" and a graduate summer school and conference on "Topology and field theories". The program will begin with a one week undergraduate summer school from May 21 to May 26th, which will consist of lectures and group problem solving sessions led by Margaret Doig, Matthew Hedden, and Joshua Greene. We plan to have approximately 20 students from a range of undergraduate institutions. The program will continue with a second week, which will be a graduate student level summer school in "Topology and Field Theories", which will consist of lectures given by Sergei Gukov, Andre Henriques, Jacob Lurie, and Chris Schommer-Pries. We expect to bring 40 or 50 graduate students and postdoctoral researchers for the graduate summer school. The final week of the program will be an international conference on "Topology and Field Theories", with speakers including David Ayala, Ulrich Bunke, Kevin Costello, Sergei Gukov, Andre Henriques, Jacob Lurie, Chris Schommer-Priess, Dennis Sullivan, and others.The aim of this program is to help students learn about research in exciting and important areas of topology. For undergraduates, we aim to give students an introduction to knot theory and its variants, which combines different areas of mathematics, but also has close connections to physics and to biology, through folding properties of DNA molecules. The program will help the undergraduates make choices about graduate study. The speakers are strong young mathematicians, and have been chosen for their ability in teaching. For graduate students, the program will provide many opportunities to interact with leading researchers in an area of topology with close interactions with physics. This area has been important in a number of major advances in mathematics. The program will help graduate students transition into research, and advance their research program. The conference will provide further opportunities in a less structured environment. The speakers are all strong researchers, and excellent lecturers. For all levels, we plan to bring in students from a wide variety of institutions.Information on the programs is available at the following website: http://centerformath.nd.edu/scientific-events-and-programs/

数学中心在圣母院将运行一个程序的拓扑从2009年5月21日至6月9日，包括一个本科生暑期学校的“拓扑不变量在低维”和研究生暑期学校和会议上“拓扑和场论”。 该计划将从5月21日至5月26日为期一周的本科生暑期学校开始开始，其中包括由玛格丽特·多伊格，马修·海登和约书亚格林领导的讲座和小组问题解决会议。 我们计划有大约20名来自一系列本科院校的学生。 该计划将继续第二周，这将是一个研究生水平的暑期学校在“拓扑和场理论”，这将包括由谢尔盖·古科夫，安德烈·亨里克斯，雅各布·卢里，和克里斯Schommer-Pries给出的讲座。 我们预计将为研究生暑期学校带来40或50名研究生和博士后研究人员。 该计划的最后一周将是一个关于“拓扑和场论”的国际会议，演讲者包括大卫阿亚拉，乌尔里希邦克，凯文科斯特洛，谢尔盖古科夫，安德烈亨里克斯，雅各布卢里，克里斯Schommer-Priess，丹尼斯沙利文，和其他人。该计划的目的是帮助学生了解拓扑学的令人兴奋和重要领域的研究。对于本科生，我们的目标是给学生介绍结理论及其变体，它结合了数学的不同领域，但也有密切的联系，物理学和生物学，通过DNA分子的折叠特性。 该计划将帮助本科生对研究生学习做出选择。 发言者是强大的年轻数学家，并已被选为他们的教学能力。 对于研究生，该计划将提供许多机会与拓扑学领域的领先研究人员进行互动，并与物理学进行密切的互动。 这一领域在数学的许多重大进展中发挥了重要作用。该计划将帮助研究生过渡到研究，并推进他们的研究计划。 这次会议将在一个结构较少的环境中提供更多的机会。演讲者都是强大的研究人员和优秀的讲师。对于所有级别，我们计划从各种机构招收学生。有关课程的信息可在以下网站获得：http://centerformath.nd.edu/scientific-events-and-programs/