U.S.-France Cooperative Research: Higher Order Elliptic Equations in Geometry

这个为期三年的美法合作几何奖获得者包括印第安纳大学的Matthew L.Gursky，普林斯顿大学的Paul C.Yang和Sung-Yung Chang，CEnergy-Pontoise大学的Frank Merle和Emmanuel Hebey。合作涉及几何和数学物理中的高阶椭圆型方程，特别是四阶椭圆型方程和抛物型方程。这些几何问题出现在保角几何、爱因斯坦流形和正则度规中。美国数学家将高阶方程方面的专业知识带到了这次合作中。这个奖项代表了美方向NSF和法国国家科学研究中心(CNRS)提出的联合建议。NSF将支付美国调查人员和学生的个人访问以及参加研讨会的团体旅行的旅费和生活费。国家科学研究中心将支持法国研究人员的访问。这项合作将促进对应用于物理、几何和分析问题的高阶方程的基本理解。该项目增加了对学生培训的国际层面，并提供了发展国际伙伴关系的机会。

0129266GurskyThis three-year award for U.S.-France collaboration in geometry involves Matthew L. Gursky at Indiana University, Paul C. Yang and Sung-Yung Chang at Princeton University, Frank Merle and Emmanuel Hebey at the University of Cergy-Pontoise. The collaboration addresses higher order elliptic, in particular fourth order, and parabolic equations in geometry and mathematical physics. These geometry problems arise in conformal geometry, Einstein manifolds, and canonical metrics. The US mathematicians bring to this collaboration expertise in higher order equations. This is complemented by French expertise in analytical problems.This award represents the US side of joint proposals to the NSF and the French National Center for Scientific Research (CNRS). NSF will cover travel funds and living expenses for individual visits of US investigators and students and group travel to a workshop. The CNRS will support the visits of the French researchers. The collaboration will advance fundamental understanding of higher order equations as applied to problems in physics, geometry, and analysis. The project adds an international dimension to training of students and provides opportunities to develop international partnerships.