Thematic Program on Geometric Analysis and Spectral Theory

几何分析与谱理论专题课程

• 批准号: 1647230
• 负责人: Stephen Preston
• 金额: $ 0.99万
• 依托单位: CUNY Brooklyn College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1647230&HistoricalAwards=false
• 关键词: Thematic; Program; Geometric; Analysis; Spectral

This grant will fund travel expenses for about 65 young U.S.-based researchers to attend workshops at the Centre de Recherches Mathematiques in Montreal between January and July 2012, during the "Thematic Program on Geometric Analysis and Spectral Theory," with the first workshop on Geometric Partial Differential Equations taking place on April 23-27 2012.The workshop topics to be funded are: * Geometry and Dynamics of Fluids (including stability and well-posedness)* Geometry of Eigenvalues and Eigenfunctions (including spectral asymptotics and geometry of level sets)* Geometric PDE (including the Monge-Ampere equations, hypersurface flows, and Ricci flow)* Random Metrics/Probabilistic Methods in Geometry and Analysis (including random waves and metrics) In addition, participants are encouraged to attend other events at the CRM during this time, including preparatory minicourses and special lectures. Proceedings of many previous thematic programs have been published in collaboration with the AMS, and many of the speakers and participants are expected to be from the U.S.This grant will fund travel expenses for about 65 U.S.-based mathematicians who are early in their careers to attend a workshop in their field in Montreal during the first half of 2012. The four workshops all fall under the general theme of relating the geometry of curved spaces to the differential equations that model problems in physics (such as fluids, heat, and gravitation). In the last 10-20 years, this relationship has been one of the most active research areas of mathematics, with Grigory Perelman's solution of the Poincare Conjecture being the most well-known instance. Generally the CRM (Centre de Recherches Mathematiques) hosts one or two of these themed programs per year, and they attract mathematicians from all over Canada, the United States, and the rest of the world. Attending such an international workshop is an excellent way for a mathematician to learn about the latest research projects and start productive collaborations, and funds from NSF grants like this are often the only way for a beginning American mathematician to attend a conference like this (even if s/he is giving a talk). http://www.crm.umontreal.ca/Analysis2012/index.php/

这笔赠款将为约 65 名美国年轻研究人员提供旅费，以参加 2012 年 1 月至 7 月期间在蒙特利尔数学研究中心举办的“几何分析和谱理论主题项目”期间的研讨会，以及首届几何研讨会偏微分方程于 2012 年 4 月 23 日至 27 日举行。 资助的研讨会主题是： * 流体的几何和动力学（包括稳定性和动力学）适定性）* 特征值和特征函数的几何（包括谱渐进和水平集的几何）* 几何偏微分方程（包括 Monge-Ampere 方程、超曲面流和 Ricci 流）* 几何和分析中的随机度量/概率方法（包括随机波和指标）此外，鼓励参与者在此期间参加 CRM 的其他活动，包括预备迷你课程和特别讲座。之前许多专题项目的论文集都是与 AMS 合作出版的，预计许多演讲者和参与者都来自美国。这笔赠款将为约 65 名处于职业生涯早期的美国数学家提供旅行费用2012 年上半年在蒙特利尔举办了他们领域的研讨会。这四个研讨会都属于将弯曲空间的几何与模拟物理问题的微分方程联系起来的总主题（例如流体、热量和重力）。在过去的 10-20 年里，这种关系一直是数学中最活跃的研究领域之一，格里戈里·佩雷尔曼 (Grigory Perelman) 对庞加莱猜想的解就是最著名的例子。一般来说，CRM（数学研究中心）每年都会举办一两个这样的主题项目，吸引来自加拿大、美国和世界其他地区的数学家。参加这样的国际研讨会是数学家了解最新研究项目并开始富有成效的合作的绝佳方式，而像这样的 NSF 拨款资金通常是美国初学数学家参加这样的会议的唯一途径（即使他/她正在演讲）。 http://www.crm.umontreal.ca/Analysis2012/index.php/