Workshop on Interactions between Geometry and Analysis

几何流和度量分析的影响，例如，以Gromov-Hausdorff极限的形式，代表了几何学最近最引人注目的发展。当结合在一起时，这导致了著名的庞加莱和几何图形的壮观分辨率。几何与分析之间的相互作用将于2010年10月21日至24日在巴黎圣母院举行的研讨会的主要目标是促进几何与分析之间的进一步互动，在前沿研究的水平，并通过让学生和博士后参与这一过程来确保长期收益。 几何和分析都是高度发达和庞大的数学学科，有许多重要的应用到其他领域的数学，物理学，经济学和工程学。虽然这些主题之间的相互作用也有着重要甚至深远的历史，但涉及流动和有限空间物体的最新发展极大地推动了这一演变，无论是从已经取得的惊人成果还是从开辟未来有希望的研究方向的角度来看。在圣母大学举行的为期4天的几何与分析之间的相互作用研讨会将汇集这些领域的一些顶尖专家，并提供一个环境，使这些研究人员自然地相互交流，以及与研究生和年轻的博士后。

The impact of geometric flows and metric analysis, e.g., in the form of Gromov-Hausdorff limits, represent some of the most dramatic recent developments in geometry in the large. When combined, this has resulted in the spectacular resolution of the famous Poincare and geometrization conjectures. The main objectives of the workshop on Interactions between Geometry and Analysis to be held at Notre Dame, October 21-24, 2010 is to facilitate further interactions between geometry and analysis at the level of cutting edge research, and to secure long term gains by involving students and post docs in the process. Geometry and Analysis are both highly developed and vast subjects in mathematics, with numerous important applications to other areas of mathematics, to physics, economics and engineering. Although interactions between these subjects also has a significant and even profound history, recent developments involving flows and limit space objects has propelled this evolution in a significant way both in terms of spectacular results already achieved as well as opening up future promising directions of research. The 4-day workshop on Interactions between Geometry and Analysis to be held at Notre Dame University will bring together some of the leading experts in these areas and provide a setting in which these researchers will naturally interact with one another as well as with graduate students and young post docs.