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.

重点年几何分析在西北，2015年4月1日至2016年3月31日，西北大学，埃文斯顿IL。 这笔赠款用于在西北大学举办一个为期四天的讲习班和一个为期七天的暑期学校，主题是几何分析，目的是培训该领域的初级数学家并刺激新的研究。 几何分析是对几何空间上的微分方程的研究，例如爱因斯坦的方程，它描述了时空曲率方面的引力。 为期四天的研讨会将于2015年5月举行，专家们将就几何分析的核心对象----里奇曲率进行18次演讲。 暑期学校将于2015年7月举行，将包括六个介绍性的微型课程，涉及几何分析中的各种主题，针对研究生和最近的博士生。 补助资金将主要用于支付美国机构研究生或博士后学者与会者的差旅费。 组织委员会将寻求广泛和多样化地参与这些活动，并将特别鼓励女数学家和其他代表性不足的群体的成员参加。 这些事件是西北大学几何分析重点年的一部分，有关这些事件的更多信息可在网站上找到：http://www.math.northwestern.edu/emphasisGA/在过去的几十年里，里奇曲率已成为几何分析的几个分支中的核心概念，包括：Riemannian几何和几何流; Riemannian流形的极限;复几何和卡勒-爱因斯坦度量;度量空间和最优传输。 为期四天的Ricci Curvature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，激发新的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在几何分析的六个重要和重叠领域开设迷你课程：平均曲率流; Ricci流; Ricci曲率; Kahler-Ricci流;复杂的Monge-Ampere方程;和Kahler度量空间中的测地线。这些课程将由该领域的专家提供，并将针对研究生和博士后学者，目标是将他们带到几何分析研究的最前沿。