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

0129266古尔斯基这三年奖美国-法国几何合作涉及马修L。印第安纳州大学的古尔斯基、普林斯顿大学的Yang和Sung-Yung Chang，以及Cergy-Pontique大学的Frank Merle和Emmanuel Hebey。 合作地址高阶椭圆，特别是四阶，抛物方程的几何和数学物理。 这些几何问题出现在共形几何、爱因斯坦流形和正则度规中。 美国数学家带来了这种合作的专业知识，在高阶方程。 该奖项代表了美国方面向美国国家科学基金会和法国国家科学研究中心（CNRS）提出的联合建议。 国家科学基金会将支付美国研究人员和学生个人访问以及参加研讨会的团体旅行的旅费和生活费。 法国国家科学研究中心将为法国研究人员的访问提供支持。该合作将促进对高阶方程的基本理解，应用于物理，几何和分析问题。 该项目增加了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.