NSF/CBMS Regional Conference in the Mathematical Sciences: Fully Nonlinear Equations in Geometry

NSF/CBMS 数学科学区域会议：几何中的完全非线性方程

• 批准号: 0225735
• 负责人: Matthew Gursky
• 金额: $ 3.14万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-01-01 至 2003-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0225735&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical; NSF; CBMS; Regional; Conference; Mathematical

The study of nonlinear partial differential equations is necessitated by countless problemsfrom diverse disciplines: physics, economics, biology, etc. Fully nonlinear equations is a more recent subject within this field, but its importance is increasing due to the growing number of connections to other fields. In particular, the study of special Lagrangian submanifolds of Calabi-Yau manifolds is of particular interest in string theory, and consequently an active area of research among physicists and mathematicians alike.Because of the rapid growth and broad interest of the field, it is a natural topic for a CBMS Regional Conference. Researchers and graduate students who are new to the field can see how geometric problems of current interest can be reformulated as problems in nonlinear PDE, and at the same time witness the often surprising ways in which the geometric aspects of the problem inform the analytic aspects (and vice versa).Adding to the appeal of the meeting is the principal lecturer, Prof. Neil Trudinger. His reputation as an eminent researcher and gifted expositor make him an ideal choice to deliver the lectures. Moreover, the monograph resulting from the meeting will be of interest to scientists in a wide range of fields.

从不同的学科：物理，经济学，生物学等。完全非线性方程是该领域内的一个较新的主题，因此对非线性偏微分方程的研究需要无数问题。但是由于与其他领域的联系的数量增加，因此其重要性正在增加。 特别是，对卡拉比河流形的特殊拉格朗日亚货量的研究在弦理论中特别感兴趣，因此，物理学家和数学家之间的研究领域都有一个积极的研究领域。由于该领域的快速增长和广泛的兴趣，这是CBMS机构会议的自然主题。 该领域新手的研究人员和研究生可以看到当前感兴趣的几何问题如何重新归类为非线性PDE的问题，同时，与问题的几何方面相关的方式通常令人惊讶的方式，以使分析方面（以及对会议的吸引力）。 他作为杰出的研究人员和有天赋的博览会的声誉使他成为演讲的理想选择。 此外，会议所产生的专着将引起各个领域的科学家感兴趣。