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Australian-German Workshop on Differential Geometry in the Large

Australian-German Workshop on Differential Geometry in the Large
澳大利亚-德国大微分几何研讨会
批准号:
1855960
负责人:
Lee Kennard
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:
2019
资助国家:
美国
项目状态:
已结题
起止时间:
2019-02-15 至 2020-01-31

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中文摘要
翻译
“澳大利亚-德国大微分几何研讨会”国际研讨会将于2019年2月4日至15日在澳大利亚克雷斯维克墨尔本大学MATRIX研究所举行。本次工作坊分为两部分。第一周(2月4日至8日)将举行一次国际会议,由澳大利亚、德国、美国和其他地方的知名研究人员、导师和专业组织的领导人等知名演讲者参加。第二周将举行一个研究专题讨论会。参与者将在接近其主要研究兴趣的研究小组中会面。这个由两部分组成的研讨会的三个目标是强调几何的最新进展,促进专家和早期职业研究人员之间的交流,并确定未来工作的途径。所有这三个目标都将使研究生、博士后研究人员和其他早期职业数学家受益。该奖项支持美国研究人员参与该活动。会议的学术重点是微分几何、几何分析和微分拓扑相关主题的最新发展。在选择全体会议发言人时,部分考虑到了这些议题。另外,第二周参与者分组的四个科目如下:几何演化方程和曲率流-流形结构和数学物理-高不变量和正标量曲率-非负截面曲率的最新发展。在本次研讨会上提出的结果,以及问题部分的总结,暂定在伦敦数学学会的讲座笔记系列中发表。以及《黑客帝国》系列丛书的2019年《黑客帝国年鉴》。此外,这些信息将通过arXiv免费提供。研讨会的网页如下。https://www.matrix-inst.org.au/events/australian-german-workshop-on-differential-geometry-in-the-large-conference/This奖项反映了美国国家科学基金会的法定使命,并通过使用基金会的知识价值和更广泛的影响审查标准进行评估,被认为值得支持。
英文摘要
The international workshop "Australian-German Workshop on Differential Geometry in the Large" will take place from February 4-15, 2019, at the MATRIX institute of the University of Melbourne in Creswick, Australia. This workshop has two parts. The first week (February 4-8) will involve an international conference with high-profile speakers who are prominent researchers, mentors, and leaders of professional organizations in Australia, Germany, the U.S., and elsewhere. A research symposium will take place in the second week. Participants will meet in research groups close to their primary research interests. Three goals of this two-part workshop are to highlight recent advances in the geometry, foster communication between experts and early-career researchers, and identify avenues for future work. All three goals will benefit graduate students, postdoctoral researchers, and other early-career mathematicians. The award supports participation of US researchers in this event. The academic focus of the meeting is on recent developments in differential geometry, geometric analysis, and associated topics in differential topology. The plenary speakers were chosen in part with these topics in mind. In addition, the four subjects according to which the participants will be grouped in the second week are as follows: - Geometric evolution equations and curvature flow - Structures on manifolds and mathematical physics - Higher invariants and positive scalar curvature - Recent developments in non-negative sectional curvature The results presented in this workshop, as well as a summary of the problem session, is tentatively planned to be published in the London Mathematical Society's Lecture Note Series, as well as in the 2019 MATRIX Annals volume of the MATRIX Book Series. In addition, this information will be made freely available through the arXiv. The webpage for the workshop is below. https://www.matrix-inst.org.au/events/australian-german-workshop-on-differential-geometry-in-the-large-conference/This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
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Connected Isotropy Groups in the Grove Symmetry Program
  • 批准号:
    2005280
  • 项目类别:
    Standard Grant
  • 资助金额:
    $18.14万
  • 财政年份:
    2020
  • 负责人:
    Lee Kennard
  • 依托单位:
Curvature, Symmetry, and Periodic Cohomology
  • 批准号:
    1904354
  • 项目类别:
    Standard Grant
  • 资助金额:
    $8.66万
  • 财政年份:
    2018
  • 负责人:
    Lee Kennard
  • 依托单位:
Curvature, Symmetry, and Periodic Cohomology
Obstructions to positive curvature and symmetry
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