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

“拓扑全景”是一个会议，将于2012年5月8日至11日在普林斯顿大学举行。 这次会议是针对广大观众的拓扑学家，提出了许多目前的重大发展，在这个广泛的主题。 几个主题将举行会议在一起：最近的突破，在双曲几何，三流形拓扑和几何群论导致虚拟哈肯和Escherapreis的证明;重大发展在弗洛尔同源性和分类;和同伦理论，包括最近的突破Kervaire不变一猜想。会议发言人包括A。阿德姆岛Agol，A. Bahri，W. Browder，F. Cohen，J. Kahn，P. B.克朗海默河 Lipshitz，D.作者声明：McDuff，J. Morgan，J. Rasmussen，D. Ravenel，N.列舍季欣湾 Thurston，V. Voevodsky，K. Vogtmann和D.在过去的几十年里，拓扑学的主题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，数学物理启发的结构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，以帮助促进各种专业之间的沟通，并激励新一代的年轻研究人员在这个令人兴奋的和快速发展的数学分支。这些开发项目的建筑师将就他们的专业领域进行研究讲座。日程安排包括每天大约五个小时的演讲，以及研究人员相互互动的时间。 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提供部分支持，以参加这一活动。会议注册可在会议网站https://cgi.math.princeton.edu/conference/browder2012/registration.html上获得