Pacific Rim Workshop in Geometric Analysis, Vancouver, Summer 2010

环太平洋几何分析研讨会将于2010年7月20-30日在加拿大温哥华的UBC/PIMS举行。第一周是暑期班，第二周是研究型会议。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：Ricci流、平均曲率流、Willmore流，(Ii)K“Ahler-Einstein度量、常数量曲率度量和K\”Ahler-Ricci流，(Iii)数学广义相对论，(Iv)具有正曲率的流形，(V)极小子流形。这些都是目前几何分析中最活跃的研究领域。其中许多主题在数学的其他领域有更广泛的应用，如代数几何，也有相关物理领域的应用，如广义相对论和弦理论。这次会议将有重要的教育内容。第一周将完全由面向研究生的迷你课程组成。其目的是在主要科学领域提供足够的背景知识，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个研究级讲座。会议将通过PRIMA和一个会议网站进行宣传，以建立尽可能多样化的受众。组委会将鼓励女性数学家提出申请。迷你课程和讲习班的讲稿将张贴在会议网页上，并将广泛分发给各级数学家。来自国家科学基金会的资金将用于为来自美国的15名研讨会参与者提供旅费和住宿费。没有自己的旅行资金来源的研究生、博士后和初级教职员工将优先考虑。

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.