Conferences: Southern California Geometric Analysis Seminar; Winter-2017; 2018; 2019; University of California-San Diego and University of California, Irvine

微分几何根据爱因斯坦的广义相对论研究空间的空间性质，包括人类生活的物理时空。这些空间特性对发生的所有物理事件具有根本性的影响。许多科学问题也可以用几何学来表述。几何分析使用分析和偏微分方程作为工具来研究空间的解析性质、几何性质和拓扑性质。它是现代数学的一个重要组成部分，与数学的许多其他分支有关。它解决了全局几何、拓扑学、几个复杂变量和数学物理中的大量问题。南加州几何分析研讨会（SCGAS）是一个为期两天的年度会议，在加州大学欧文分校和加州大学圣地亚哥分校之间轮流举行。这次会议的特色是世界各国领导人的讲话。研讨会促进南加州对几何分析和相关领域感兴趣的数学家之间的互动，并向研究生和博士后介绍几何分析方面的一些最好的作品。这项资助奖励旨在支持和鼓励研究生和刚获得博士学位的学生，特别是妇女和代表性不足的少数民族参加会议，为他们提供出席会议所需的旅费支助。几何分析是现代数学的一个重要领域，与许多其他数学分支有关。几何分析以分析和偏微分方程为主要工具，以微分几何、拓扑学和代数几何为基础，解决了全局几何、拓扑学、若干复杂变量和数学物理等方面的大量问题。一个例子是通过对里奇流的研究解决了著名的庞加莱猜想。正如前23次会议的成功所表明的那样，SCGAS会议现在已经成为南加州地区的一个重要和令人期待的活动，并且每年也吸引了来自全国其他地区的大量参与者。事实上，它是南加州地区独一无二的年度会议，并继续培养对各级几何分析的兴趣。在过去的几年里，会议期间参与者之间的互动导致了许多新的合作和研究项目。南加州几何分析研讨会的网站可以在https://math.ucsd.edu/~scgas/和http://www.math.uci.edu/~scgas/上找到。

Differential geometry studies the spatial properties of spaces, which includes the physical space-time in which the human beings live, by Einstein's theory of general relativity. These spatial properties have fundamental impact on all physical events happening. Many problems in science can also be formulated in terms of geometry. Geometric analysis uses the analysis and the partial differential equation as a tool to study analytic, geometric and topological properties of the spaces. It is an important part of modern mathematics and is related to many other branches of mathematics. It has solved a large number of problems in global geometry, topology, several complex variables and mathematical physics. The Southern California Geometric Analysis Seminar (SCGAS) is an annual two-day conference that rotates between the University of California - Irvine and the University of California - San Diego. The conference features talks given by world leaders. The Seminar promotes interaction among mathematicians in Southern California who are interested in geometric analysis and related areas and to introduce graduate students and post-docs to some of the best works in geometric analysis. This funding award is geared towards supporting and encouraging the participation of graduate students and recent PhDs, especially women and under-represented minorities, by providing them the necessary travel support to attend the conference. Geometric analysis is an important area of modern mathematics and is related to many other branches of mathematics. Using the analysis and the partial differential equations as its main tools with differential geometry, topology, and algebraic geometry as foundations, geometric analysis has solved a large number of problems in global geometry, topology, several complex variables and mathematical physics. One example is the resolution of the celebrated Poincare conjecture via the study of the Ricci flow. As the success of the first twenty three meetings have demonstrated, the SCGAS conference has now become an important and anticipated event for the southern California region and has also attracted a substantial number of participants from the rest of the country each year. Indeed, it is the unique annual meeting of its kind in the southern California area, and continues to foster interests in geometric analysis at all levels. In the years past, interactions among the participants during the conference have led to a number of new collaborations and research projects. Web sites for the Southern California Geometric Analysis Seminar may be found at https://math.ucsd.edu/~scgas/ and http://www.math.uci.edu/~scgas/.