Crossroads in Topology

拓扑学的十字路口

• 批准号: 1237423
• 负责人: David Gabai
• 金额: $ 3万
• 依托单位: Princeton University
• 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=1237423&HistoricalAwards=false
• 关键词: Crossroads; Topology

"Panorama of Topology" is a conference which will be held May 8-11, 2012 at Princeton University. This conference is aimed at a wide audience of topologists, presenting many of the current great developments in this broad subject. Several themes will hold the conference together: Recent breakthroughs in hyperbolic geometry, three-manifold topology and geometric group theory leading to proofs of the virtual Haken and Ehrenpreis conjectures; major developments in Floer homology and categorification; and recent breakthroughs in homotopy theory, including the Kervaire invariant one conjecture. Conference speakers include A. Adem, I. Agol, A. Bahri, W. Browder, F. Cohen, J. Kahn, P. B. Kronheimer, R. Lipshitz, D. McDuff, J. Morgan, J. Rasmussen, D. Ravenel, N. Reshetikhin, W. Thurston, V. Voevodsky, K. Vogtmann, and D. Wise.In the past few decades, the subject of topology has experienced fundamental and transformative developments. Some of these developments come from its interactions with other fields of mathematics, including ideas from algebraic geometry, ergodic theory, geometric group theory, constructions inspired by mathematical physics, and links with representation theory. The aim of this conference is to bring together a broad spectrum of topologists to help foster communication between the various specializations, and to inspire a new generation of young researchers in this exciting and quickly-developing branch of mathematics. Architects of these developments will give research talks on their areas of expertise. The schedule will consist of roughly five hour-long talks per day, and some time for the researchers to interact with one another. The budget will help support the speakers, and it will provide partial support to graduate students and other young researchers to come participate in this event. Registration for the conference is available at the conference website, https://cgi.math.princeton.edu/conference/browder2012/registration.html

“Panorama of Topology”会议将于2012年5月8日至11日在普林斯顿大学举行。 这次会议面向广大拓扑学家，介绍了这一广泛学科当前的许多重大进展。 会议将围绕以下几个主题进行：双曲几何、三流形拓扑和几何群论的最新突破，导致虚拟哈肯和埃伦普雷斯猜想的证明； Floer 同源性和分类的主要进展；以及同伦理论的最新突破，包括 Kervaire 不变一猜想。会议发言人包括 A. Adem、I. Agol、A. Bahri、W. Browder、F. Cohen、J. Kahn、P. B. Kronheimer、R. Lipshitz、D. McDuff、J. Morgan、J. Rasmussen、D. Ravenel、 N. Reshetikhin、W. Thurston、V. Voevodsky、K. Vogtmann 和 D. Wise。在过去的几十年里，拓扑学学科经历了根本性和变革性的发展。其中一些发展来自于它与其他数学领域的相互作用，包括代数几何、遍历理论、几何群论的思想、受数学物理启发的构造以及与表示论的联系。 这次会议的目的是汇集广泛的拓扑学家，帮助促进各个专业之间的交流，并激励新一代年轻研究人员在这个令人兴奋且快速发展的数学分支中。这些开发项目的建筑师将就他们的专业领域进行研究演讲。日程安排包括每天大约五个小时的会谈，以及研究人员之间的一些互动时间。 预算将帮助支持演讲者，并将为研究生和其他年轻研究人员参加本次活动提供部分支持。会议注册可在会议网站上进行，https://cgi.math.princeton.edu/conference/browder2012/registration.html