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

会议：南加州几何分析研讨会；

• 批准号: 1623782
• 负责人: Lei Ni
• 金额: $ 7.8万
• 依托单位: University of California-San Diego
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-08-15 至 2019-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1623782&HistoricalAwards=false
• 关键词: Conferences; Southern; California; Geometric; Analysis

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/.

微分几何以爱因斯坦的广义相对论为基础，研究空间的空间性质，包括人类生存的物理时空。这些空间属性对所有物理事件的发生具有根本性的影响。 科学中的许多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分析，几何和拓扑性质。 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都有联系。它解决了大量的问题，在全球几何，拓扑，多复变和数学物理。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-欧文大学和加州-圣地亚哥大学之间轮流举行。 这次会议的特点是由世界各国领导人发表演讲。 该研讨会促进了南加州数学家之间的互动，他们对几何分析和相关领域感兴趣，并向研究生和博士后介绍了几何分析中的一些最佳作品。该资助奖旨在支持和鼓励研究生和最近的博士生，特别是妇女和代表性不足的少数民族的参与，为他们提供必要的旅行支持参加会议。 几何分析是现代数学的一个重要领域，它与许多其他数学分支都有联系。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，解决了大量的整体几何、拓扑学、多复变和数学物理问题。一个例子是著名的庞加莱猜想的决议通过研究里奇流。正如前23次会议的成功所证明的那样，SCGAS会议现在已经成为南加州地区的一个重要和预期的活动，每年也吸引了来自全国其他地区的大量参与者。事实上，这是独特的年度会议，其在南加州地区，并继续培养兴趣的几何分析在各个层面。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。