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

根据爱因斯坦的广义相对论，微分几何研究空间的空间属性，包括人类生活的物理时空。这些空间属性对发生的所有物理事件都有根本影响。科学中的许多问题也可以用几何来表述。几何分析以分析和偏微分方程为工具，研究空间的解析性质、几何性质和拓扑性质。它是现代数学的重要组成部分，与数学的许多其他分支有关。它已经解决了全球几何、拓扑、多个复变量和数学物理中的大量问题。南加州几何分析研讨会(SCGAS)是一个每年两天的会议，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。这次会议以世界各国领导人的演讲为特色。研讨会促进了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工作。这一资金奖励旨在支持和鼓励研究生和新近的博士，特别是妇女和代表性不足的少数群体参加会议，为他们提供参加会议所需的旅行支助。几何分析是现代数学的一个重要领域，与数学的许多其他分支有关。几何分析以分析和偏微分方程组为主要工具，以微分几何、拓扑学和代数几何为基础，解决了整体几何、拓扑学、多元复变量和数学物理中的大量问题。一个例子是通过对利玛窦流动的研究来解决著名的庞加莱猜想。正如前23次会议的成功证明的那样，SCGAS会议现在已经成为南加州地区一项重要的预期活动，每年也吸引了来自美国其他地区的大量与会者。事实上，这是南加州地区独一无二的年度会议，并继续促进各级对几何分析的兴趣。在过去的几年里，与会者在会议期间的互动导致了一些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/.