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Summer Program on Conformal Geometry and Geometric PDE in Beijing

Summer Program on Conformal Geometry and Geometric PDE in Beijing
北京共形几何与几何偏微分方程暑期项目
批准号:
1523119
负责人:
Jie Qing
金额:
$4.91万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2015
资助国家:
美国
项目状态:
已结题
起止时间:
2015-04-01 至 2016-03-31

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中文摘要
翻译
保形几何与几何PDE国际研讨会将于2015年6月22日至7月3日在北京国际数学研究中心(BICMR)举行。这是一个为期两周的暑期项目,分为两个部分。第一部分是研究生暑期学校。暑期学校将开设5门由权威专家授课的迷你课程,涵盖重要背景,并介绍该领域的前沿研究课题。第二部分是一个研究会议,以促进和促进交流和互动,特别是在该领域的年轻研究人员和主要专家之间。BICMR将主办该项目,致力于支持在该项目中促进的合作。该项目将促进该领域的更多研究,并促进中美研究人员之间的合作。保形几何PDE的研究是几何PDE中最活跃的研究领域之一。从非线性椭圆型和抛物型偏微分方程的重要发展,到更好地理解满足保形不变曲率方程(如Bach-flatness)的4流形,该领域已经取得了许多令人兴奋的进展。这一进展还扩展到对共形紧致爱因斯坦流形的进一步研究,这对理论物理学中有前途的量子引力理论中提出的所谓AdS/CFT对应的数学基础至关重要。为了吸收如此广泛的影响,显然需要有一个项目,将领先的专家和年轻的研究人员聚集在一起,传播和消化快速的进步,并为该领域的进一步发展培养创造性的想法。该计划的网站是http://bicmr.pku.edu.cn/academic-year-2015/aygp/event-2.html
英文摘要
The International Workshop on Conformal Geometry and Geometric PDE will be held at the Beijing International Center for Mathematical Research (BICMR), Beijing, China, from June 22-July 3, 2015. This is a two-week summer program that has two parts. The first part is a summer school for graduate students. The summer school will offer 5 mini-courses taught by leading experts to cover important background as well as introduce frontier research topics in the field. The second part is a research conference to facilitate and promote exchanges and interactions, particularly among young researchers and leading experts in the field. BICMR, which will host the program, is committed to support collaborations fostered in this program. The program will stimulate more research in the field and foster collaborations between researchers from US and China.The research in conformal geometric PDE is one of the most active research fields in geometric PDE. There has been much exciting progress in the field ranging from important developments in nonlinear elliptic and parabolic PDE, to the better understanding of 4-manifolds that satisfy conformally invariant curvature equations like Bach-flatness. This progress also extends to further investigations on conformally compact Einstein manifolds that are essential to the mathematical foundation for the so-called AdS/CFT correspondence proposed in the promising theory of quantum gravity in theoretical physics. To absorb the impact of such breadth it is clearly desirable to have a program to bring together leading experts and young researchers to disseminate and digest the rapid advancements as well as nurture creative ideas for further developments in the field.The program website is at http://bicmr.pku.edu.cn/academic-year-2015/aygp/event-2.html
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会议论文
Conformal Geometry, Partial Differential Equations, and Mathematical Relativity
  • 批准号:
    1608782
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $24.9万
  • 财政年份:
    2016
  • 负责人:
    Jie Qing
  • 依托单位:
Partial differential equations in conformal geometry
Summer Program in Mathematical Relativity in Beijing
Conformal geometry and partial differential equations
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