A Conference on Partial Differential Equations - Analytic and Geometric Aspects

北卡罗来纳大学（UNC）数学系计划于2012年7月16日至20日在教堂山举办为期一周的会议，题为“偏微分方程-解析和几何方面会议”，涉及偏微分方程（PDE）中的微局部分析和几何。本次会议将汇集微局部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相互作用，但它们经常有有用的技术和思想重叠，这将允许合作在分析和几何方面取得进展。特别是，会议将汇集许多专家，他们对测地线流和几何的见解可以极大地通知和推进北卡罗来纳大学分析小组的努力，以理解流形上非线性束缚态的存在和动力学，这在几何和色散方程的研究中都有出现。本项目支持参加偏微分方程-解析和几何方面会议。基金将用于参会的美国大学的演讲者、研究生、博士后和初级教师的旅费和住宿费。本次研讨会将反映北卡罗来纳大学偏微分方程小组的主要关注领域，该小组是在杰出的高级教师迈克尔·泰勒的带领下发展起来的，他在整个职业生涯中对偏微分方程做出了根本性的贡献，特别是在微局部和几何分析的研究中帮助发展了这些主题。该小组希望吸引来自世界各地的专家和学生来讨论最近的进展，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。这些技术导致了涉及广义相对论、流体力学和非线性光学等领域的活动激增。会议的更多细节可以在https://www.math.psu.edu/mazzucat/uncconf2012/index.html找到

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