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Crossroads in Topology

Crossroads in Topology
拓扑学的十字路口
批准号:
1237423
负责人:
David Gabai
金额:
$3.0万
依托单位:
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
项目状态:
已结题
起止时间:
2012-05-01 至 2013-04-30
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项目摘要

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中文摘要
翻译
“拓扑学全景图”会议将于2012年5月8日至11日在普林斯顿大学举行。这次会议针对的是拓扑学家的广泛受众,展示了这一广泛学科中目前的许多重大发展。几个主题将共同举办会议:双曲几何、三维流形拓扑和几何群论的最新突破导致了虚拟Haken和Ehrenpreis猜想的证明;Floer同调和范畴的重大发展;以及同伦理论的最新突破,包括Kervaire不变一猜想。会议演讲者包括A.Adem、I.Agol、A.Burri、W.Browder、F.Cohen、J.Kahn、P.B.Kronheimer、R.Lipshitz、D.McDuff、J.Morgan、J.Rasmussen、D.Ravenel、N.Reshetikhin、W.瑟斯顿、V.Voevodsky、K.Vogtmann和D.Wis.在过去的几十年里,拓扑学这门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互动,包括来自代数几何、遍历理论、几何群论的思想,受到数学物理启发的构造,以及与表示论的联系。这次会议的目的是将广泛的拓扑学家聚集在一起,帮助促进不同专业之间的交流,并激励这个令人兴奋和快速发展的数学分支中的新一代年轻研究人员。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。日程安排将包括每天大约五个小时的演讲,以及一些研究人员相互交流的时间。预算将帮助支持演讲者,并将为前来参加这次活动的研究生和其他年轻研究人员提供部分支持。报名参加会议的网址为:https://cgi.math.princeton.edu/conference/browder2012/registration.html。
英文摘要
"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
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Smooth 4-manifolds, hyperbolic 3-manifolds and diffeomorphism groups
  • 批准号:
    2304841
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $53.77万
  • 财政年份:
    2023
  • 负责人:
    David Gabai
  • 依托单位:
Smooth 4-Manifold Topology, 3-Manifold Group Actions, the Heegaard Tree, and Low Volume Hyperbolic 3-Manifolds
  • 批准号:
    2003892
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $50.46万
  • 财政年份:
    2020
  • 负责人:
    David Gabai
  • 依托单位:
Hyperbolic Geometry, Heegaard Surfaces, Foliation/Lamination Theory, and Smooth Four-Dimensional Topology
  • 批准号:
    1607374
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $66.67万
  • 财政年份:
    2016
  • 负责人:
    David Gabai
  • 依托单位:
Problems in Low Dimensional Geometry and Topology
  • 批准号:
    1006553
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $79.1万
  • 财政年份:
    2010
  • 负责人:
    David Gabai
  • 依托单位:
海外基金