Special Meeting: Focus Program on Whitney Problems

该奖项提供支持，以支付美国参加“特别会议：惠特尼问题重点方案”的费用。该计划将包括三个活动（为期7天的研讨会;研究生课程;和讲座系列），将于2012年8月27日至9月3日在多伦多（加拿大）的数学科学研究所举行。特别会议的重点是一些最有活力的发展，在函数理论有关的著名惠特尼扩展和跟踪问题类顺利的职能。其中包括研究有限集上Lipschitz结构的新的分析和几何方法，Sobolev空间中函数的延拓和迹问题，Lipschitz函数从度量空间子集的同时延拓，Helly-type Lipschitz选择问题，Sobolev延拓域的几何描述等。包括函数理论，几何分析和复杂性。NSF对该计划的资助将用于支付美国参与者的支持费用，优先考虑研究生，博士后，年轻教师，代表性不足的群体成员以及那些没有自己资金来源的人。该计划将汇集研究人员， 分析，偏微分方程，几何，讨论有关惠特尼问题的最新进展，特别是这些数学领域之间的重叠。该计划将是一个机会，吸引一些领先的专家在函数理论，偏微分方程，调和分析一起讨论这个问题和相关的研究问题的兴趣。 该计划将创造一个环境，使学生和早期职业研究人员可以从与这些顶级专家的互动中获益。

The award provides support to defray the expenses of US participants in the "Special Meeting: Focus Program on Whitney Problems". The program will consist of three activities (a 7-day workshop; a graduate course; and a lecture series) that will take place August 27 through September 3, 2012, at the Fields Institute for Research in the Mathematical Sciences in Toronto (Canada). The special meeting is focused on some of the most vibrant developments in function theory related to the celebrated Whitney extension and trace problems for classes of smooth functions. These include new analytic and geometric methods in the study of Lipschitz structures on finite sets, extension and trace problems for functions in Sobolev spaces, simultaneous extensions of Lipschitz functions from subsets of metric spaces, Helly-type Lipschitz selection problems, geometric descriptions of Sobolev extension domains, etc. New developments in these areas will continue to have an impact on a broad range of fields, including function theory, geometric analysis and complexity.NSF funding for this program will be used to pay for the expenses of US based participant support, with priority given to graduate students, post-docs, younger faculty, members of underrepresented groups, and those without their own source of funding. This program will bring together researchers in Analysis, Partial Differential Equations, Geometry,to discuss recent advances related to the Whitney Problem and in particular the overlap between these areas of mathematics. The program will be an opportunity to attract some of the leading experts in function theory, partial differential equations, and harmonic analysis together to discuss this question and related research questions of interest. This program will create an environment in which students and early career researchers could profit from the interaction with such top experts.