Pacific Rim Workshop in Geometric Analysis, Vancouver, Summer 2010

环太平洋地区几何分析研讨会将于2010年7月20-30日在加拿大温哥华UBC/PIMS举行。第一周将是暑期学校，第二周将是研究型会议。这次研讨会/会议将汇集来自世界各地的几何分析专家。集中的核心领域将是（i）几何流：里奇流，平均曲率流，Willmore流，（ii）K\“ahler-Einstein度量，常数标量曲率度量和K\“ahler-Ricci流，（iii）数学广义相对论，（iv）具有正曲率的流形，以及（v）极小子流形。这些是目前几何分析中最活跃的一些研究领域。这些主题在数学的其他领域有更广泛的应用，例如代数几何，也可以应用到相关的物理领域，例如广义相对论和弦理论。这次会议将有重要的教育组成部分。第一周将完全由面向研究生的迷你课程组成。目的是提供主要科学领域的充分背景，以便与会者能够跟踪最新的发展。这些将在第二周提交，届时将有16-18个研究级会谈。会议将通过相关中间人所在地办法和会议网站进行宣传，以便尽可能吸引不同的受众。组委会将鼓励女性数学家提出申请。小型课程和讲习班的讲义将张贴在会议网页上，并将广泛分发给各级数学家。国家科学基金会的资金将用于为来自美国的15名讲习班参加者提供旅费和住宿费。优先考虑研究生，博士后和没有自己的旅行资金来源的初级教师。

The Pacific Rim Workshop on Geometric Analysis will be held at UBC/PIMS, Vancouver, Canada, July 20-30, 2010. The first week will be a summer school, and the second week will be a research-oriented conference. This workshop/conference will bring together experts from all over the world in geometric analysis. The core areas of concentration will be (i) Geometric flows: Ricci flow, Mean Curvature Flow, Willmore Flow, (ii) K\"ahler-Einstein metrics, constant scalar curvature metrics and K\"ahler-Ricci flow, (iii) Mathematical General Relativity Theory, (iv) Manifolds with positive curvature, and (v) Minimal submanifolds. These are currently some of the most active research areas in geometric analysis. There are broader applications of many of these topics to other areas of mathematics, such as algebraic geometry, and also applications to related physical fields, such as general relativity and string theory.This conference will have a significant educational component. The first week will consist entirely of mini-courses geared towards graduate students. The aim is to give sufficient background in the main scientific areas, so that the participants will be able to follow the more recent developments. These will be presented in the second week, where there will be 16-18 research-level talks. The conference will be advertised though PRIMA and through a conference website in order to build as diverse an audience as possible. The organizing committee will encourage applications from female mathematicians. Lecture notes from the mini-courses and workshop will be posted on the conference webpage, and will be widely disseminated to mathematicians at all levels. The funding from the NSF will be used to provide travel and lodging expenses for fifteen workshop participants from the United States. Preference will be given to graduate students, postdocs, and junior faculty who do not have their own travel funding sources.