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，代表了几何学中一些最戏剧性的最新发展。结合起来，这导致了著名的庞加莱猜想和几何化猜想的壮观解析。将于2010年10月21日至24日在巴黎圣母院举行的几何与分析相互作用研讨会的主要目标是促进几何与分析在前沿研究水平上的进一步互动，并通过让学生和博士后参与这一过程来确保长期收益。几何和分析在数学中都是高度发达和广泛的学科，在数学的其他领域有许多重要的应用，包括物理、经济和工程。尽管这些学科之间的相互作用也有着重要甚至深远的历史，但最近涉及流动和有限空间物体的发展在已经取得的壮观成果以及开辟了未来有希望的研究方向方面都以一种重要的方式推动了这一演变。将在圣母大学举行的为期4天的几何与分析相互作用研讨会将汇集这些领域的一些顶尖专家，并提供一个这些研究人员将彼此以及与研究生和年轻博士后进行自然互动的环境。

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.