Program on Topology and Field Theories

圣母大学数学中心将于2009年5月21日至6月9日开展一个关于拓扑学的项目，包括一个关于“低维拓扑不变量”的本科生暑期学校和一个关于“拓扑学和场论”的研究生暑期学校和会议。该项目将从5月21日至5月26日为期一周的本科生暑期学校开始，包括由玛格丽特·多伊格、马修·赫登和约书亚·格林领导的讲座和小组问题解决会议。我们计划招收大约20名来自不同本科院校的学生。该项目将在第二周继续进行，这将是一个研究生水平的“拓扑和场论”暑期学校，由Sergei Gukov， Andre Henriques， Jacob Lurie和Chris Schommer-Pries授课。我们希望为研究生暑期学校带来40到50名研究生和博士后研究人员。该计划的最后一周将举行“拓扑与场论”国际会议，演讲者包括David Ayala， Ulrich Bunke, Kevin Costello, Sergei Gukov, Andre Henriques, Jacob Lurie, Chris Schommer-Priess， Dennis Sullivan等。本课程的目的是帮助学生了解拓扑学中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。该项目将帮助本科生对研究生学习做出选择。演讲者都是实力强大的年轻数学家，因为他们的教学能力而被选中。对于研究生来说，该项目将提供许多机会与拓扑学领域的顶尖研究人员进行互动，并与物理学密切互动。这个领域在数学的许多重大进展中都很重要。该计划将帮助研究生过渡到研究，并推进他们的研究计划。会议将在结构较松散的环境中提供进一步的机会。演讲者都是很强的研究者和优秀的讲师。对于所有级别，我们计划从各种各样的机构招收学生。有关这些项目的信息可在以下网站查阅：http://centerformath.nd.edu/scientific-events-and-programs/

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/