Emphasis Year in Geometric Analysis at Northwestern University

西北大学几何分析重点年

• 批准号: 1454077
• 负责人: Benjamin Weinkove
• 金额: $ 4.9万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-01-15 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1454077&HistoricalAwards=false
• 关键词: Emphasis; Year; Geometric; Analysis; Northwestern

Emphasis Year in Geometric Analysis at Northwestern, April 1, 2015 - March 31, 2016, Northwestern University, Evanston IL. This grant is for a four-day workshop and a seven-day summer school at Northwestern University on the topic of geometric analysis, with the goals of training junior mathematicians in the field and stimulating new research. Geometric analysis is the study of differential equations on geometric spaces, such as the equations of Einstein which describe gravitation in terms of the curvature of space-time. The four-day workshop, to be held in May 2015, will feature 18 talks by experts on the topic of Ricci curvature, a central object in geometric analysis. The summer school, to be held in July 2015, will include six introductory mini-courses on various topics within geometric analysis, aimed at graduate students and recent PhDs. Grant funds will be used primarily for the travel costs of attendees who are graduate students or postdoctoral scholars at US institutions. The organizing committee will seek broad and diverse participation in these activities, and will especially encourage the participation of women mathematicians and members of other under-represented groups. More information on these events, which are part of an Emphasis Year in Geometric Analysis at Northwestern, can be found on the website: http://www.math.northwestern.edu/emphasisGA/ In the last few decades, Ricci curvature has emerged as a central concept in several branches of geometric analysis, including: Riemannian geometry and geometric flows; limits of Riemannian manifolds; complex geometry and Kahler-Einstein metrics; metric measure spaces and optimal transport. The four-day Workshop on Ricci Curvature will bring together experts on all of these topics, in order to educate the next generation of geometric analysts, stimulate new ideas and create new research collaborations. The seven-day Summer School in Geometric Analysis will feature mini-courses on six important and overlapping areas of geometric analysis: the mean curvature flow; the Ricci flow; Ricci curvature; the Kahler-Ricci flow; the complex Monge-Ampere equation; and geodesics in the space of Kahler metrics. These courses will be given by experts in the field and will be aimed at graduate students and postdoctoral scholars with the goal of bringing them up to the forefront of research in geometric analysis.

西北大学几何分析重点年，2015年4月1日至2016年3月31日，西北大学，伊利诺伊州埃文斯顿。该资助用于西北大学关于几何分析主题的为期四天的研讨会和为期七天的暑期学校，目的是培养该领域的初级数学家并激发新的研究。几何分析是研究几何空间上的微分方程，比如爱因斯坦用时空曲率来描述引力的方程。为期四天的研讨会将于2015年5月举行，届时将有18位专家就几何分析中的核心对象——利玛奇曲率进行讨论。该暑期学校将于2015年7月举办，将包括六门关于几何分析中各种主题的入门迷你课程，目标学生是研究生和刚获得博士学位的学生。资助资金将主要用于美国机构的研究生或博士后学者与会者的旅费。组委会将寻求对这些活动的广泛和多样化的参与，并将特别鼓励女数学家和其他代表性不足的群体成员的参与。关于这些事件的更多信息，这些事件是西北大学几何分析重点年的一部分，可以在网站上找到：http://www.math.northwestern.edu/emphasisGA/在过去的几十年里，里奇曲率已经成为几何分析的几个分支的中心概念，包括：黎曼几何和几何流；黎曼流形的极限；复几何和Kahler-Einstein度量；度量空间和最佳运输。为期四天的里奇曲率研讨会将汇集所有这些主题的专家，以教育下一代几何分析师，激发新想法并创造新的研究合作。为期七天的几何分析暑期学校将以六个重要且重叠的几何分析领域的迷你课程为特色：平均曲率流；利玛窦流；里奇曲率;Kahler-Ricci流；复蒙日-安培方程；以及卡勒度规空间中的测地线。这些课程将由该领域的专家授课，并将针对研究生和博士后学者，目的是将他们带到几何分析研究的前沿。