A Conference on Partial Differential Equations - Analytic and Geometric Aspects

偏微分方程会议 - 解析和几何方面

• 批准号: 1207940
• 负责人: Jeremy Marzuola
• 金额: $ 2.7万
• 依托单位: University of North Carolina at Chapel Hill
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-06-01 至 2014-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1207940&HistoricalAwards=false
• 关键词: Conference; Partial; Differential; Equations; Analytic

The University of North Carolina (UNC) Department of Mathematics plans to host a week long conference entitled "A Conference on Partial Differential Equations - Analytic and Geometric Aspects" in Chapel Hill from July 16-20, 2012 relating to microlocal analysis and geometry in partial differential equations (PDE). This conference will bring together experts in the fields of microlocal and geometric analysis, which dramatically impact the study of partial differential equations, geometry, topology and spectral theory. Though such fields rarely interact in focused conferences, they often have an overlap of useful techniques and ideas that would allow for collaborations to make advancements in both analysis and geometry. In particular, the conference would bring together many experts whose insights into geodesic flow and geometry could dramatically inform and advance the University of North Carolina analysis group's efforts to understand the existence and dynamics of nonlinear bound states on manifolds, which have arisen in the studies of both geometry and dispersive equations. This project supports participation in the conference on Partial Differential Equations - Analytic and Geometric Aspects. Funds will be used for the travel and housing costs for speakers, graduate students, postdocs and junior faculty at U.S. universities without NSF support who would like to participate in the conference. This workshop will reflect the main areas of focus of the partial differential equations group at the University of North Carolina, which has grown around distinguished senior faculty member Michael Taylor, who has made fundamental contributions to PDE throughout his career, in particular helping to develop the topics of microlocal and geometric analysis in the study thereof. The group has wishes to bring in experts and students from around the world to discuss recent advances, in particular related to nonlinear partial differential equations on manifolds and applications. Such techniques have led to a surge in activity touching such areas as general relativity, fluid mechanics, and nonlinear optics. More details for the conference can be found athttp://www.math.psu.edu/mazzucat/uncconf2012/index.html

北卡罗来纳州（北卡罗来纳州）数学系的大学计划主办为期一周的会议题为“偏微分方程会议-解析和几何方面”在查佩尔山从2012年7月16日至20日有关微局部分析和偏微分方程（PDE）的几何。本次会议将汇集微观和几何分析领域的专家，这些领域对偏微分方程，几何，拓扑和谱理论的研究产生了巨大的影响。虽然这些领域很少在重点会议上互动，但它们通常有有用的技术和想法的重叠，这将允许合作在分析和几何方面取得进步。特别是，这次会议将汇集许多专家，他们对测地线流和几何的见解可以大大地通知和推进北卡罗来纳州大学分析小组的努力，以了解流形上非线性束缚态的存在和动态，这已经出现在几何和色散方程的研究。该项目支持参加偏微分方程-分析和几何方面的会议。资金将用于没有NSF支持的美国大学的演讲者，研究生，博士后和初级教师的旅行和住宿费用。本次研讨会将反映重点的偏微分方程组在北卡罗来纳州，这已经围绕杰出的资深教师迈克尔·泰勒，谁作出了根本性的贡献PDE在他的整个职业生涯中，特别是帮助发展的主题微观和几何分析在其研究的大学的主要领域。该小组希望邀请来自世界各地的专家和学生讨论最新进展，特别是与流形上的非线性偏微分方程及其应用有关的进展。 这些技术导致了广义相对论、流体力学和非线性光学等领域的活动激增。 更多会议详情请访问http：www.math.psu.edu/mazzucat/uncconf2012/index.html