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Representations of Riemannian Geometry Conference

Representations of Riemannian Geometry Conference
黎曼几何会议代表
批准号:
1720590
负责人:
Christine Escher
金额:
$3.62万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2017
资助国家:
美国
项目状态:
已结题
起止时间:
2017-07-01 至 2018-06-30

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中文摘要
翻译
该奖项为参加将于2017年8月10日至13日在宾夕法尼亚州费城圣约瑟夫大学举行的黎曼几何会议的代表提供支持。 会议的重点是全球黎曼几何的现代发展和全球度量几何和拓扑之间的关系。在最近的过去,这些领域在数学的几次突破中非常重要。例如,几何分析和度量几何的方法对于著名的庞加莱猜想的证明至关重要,庞加莱猜想可以追溯到1900年,是迄今为止唯一解决的千年奖问题之一。 这些数学领域也有许多应用,例如物理,化学,工程和大数据分析。 这笔资金将有助于参与早期职业数学家,包括研究生和博士后。将特别注意查明和支持妇女和代表性不足群体的其他成员。 将有初级研究人员和研究生的发言机会,以及一整天的介绍性演讲,以吸引更广泛的受众。 会议将包括在几个研究领域工作的演讲者和参与者,从而进一步鼓励交叉合作。 会议将有11位全体演讲者,在演讲之间有足够的时间来鼓励讨论和交流思想。 此外,将有三个讲座由研究生。会议所代表的技术领域包括全球黎曼几何的几个领域:曲率下界空间的对称性,特殊黎曼度量(特别是爱因斯坦度量,Kähler度量和翘曲积),球面的调和自映射族,球面的叶理,射影和共形几何,轨道空间上的齐次Ricci流和等距流,等参超曲面,路径空间,和闭测地线这些领域之间的重叠使得与会者之间交叉合作的可能性变得非常真实的,会议活动将汇集顶尖专家、年轻研究人员和学生,促进最新研究进展的传播和讨论未来的方向和开放问题。会议网页可在:http://palmer.wellesley.edu/~geom-conf/
英文摘要
This award provides support for participation in the Representations of Riemannian Geometry Conference, to be held August 10-13, 2017 at Saint Joseph's University in Philadelphia, PA. The conference focuses on modern developments in global Riemannian geometry and the relationship between global metric geometry and topology. In the recent past these fields were very important in several breakthroughs in mathematics. For example, methods from both geometric analysis and metric geometry were crucial for the proof of the famous Poincaré conjecture, which goes back to the year 1900 and is the only one of the Millennium Prize problems to be solved to date. These areas of mathematics also have many applications, for example to physics, chemistry, engineering, and big data analysis. This funding will help to involve early-career mathematicians, including graduate students and postdocs. Special attention will be devoted to identifying and supporting women and other members of underrepresented groups. There will be speaking opportunities for junior researchers and graduate students, as well as a full day of introductory talks with the goal of attracting a broader audience. The conference will include speakers and participants who work in several research areas, thus further encouraging cross-collaborations. The conference will feature eleven plenary speakers with plenty of time between talks to encourage discussion and the interchange of ideas. Additionally, there will be three talks given by graduate students. The technical areas represented by the conference include several areas of global Riemannian geometry: symmetries of spaces with lower curvature bounds, special Riemannian metrics (especially Einstein metrics, Kähler metrics, and warped products), families of harmonic self-maps of spheres, foliations of spheres, projective and conformal geometry, homogeneous Ricci flow and isometric flow on orbit spaces, isoparametric hypersurfaces, path spaces, and closed geodesics. The overlap between these areas makes very real the possibility for cross-collaboration among the participants, and the conference activities will bring together leading experts and young researchers and students, facilitating the dissemination of recent research progress and discussion of future directions and open problems.The conference webpage is available at: http://palmer.wellesley.edu/~geom-conf/
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COLLABORATIVE: Pacific Northwest Geometry Seminar
  • 批准号:
    1905391
  • 项目类别:
    Standard Grant
  • 资助金额:
    $0.21万
  • 财政年份:
    2019
  • 负责人:
    Christine Escher
  • 依托单位:
Mathematical Sciences: Topics in Geometry and Topology
  • 批准号:
    9403518
  • 项目类别:
    Standard Grant
  • 资助金额:
    $1.86万
  • 财政年份:
    1994
  • 负责人:
    Christine Escher
  • 依托单位:
海外基金