Thematic Program on Geometric Analysis and Spectral Theory

几何分析与谱理论专题课程

• 批准号: 1157293
• 负责人: Stephen Preston
• 金额: $ 5万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-03-01 至 2016-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1157293&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/

该赠款将为大约65名美国年轻研究人员提供差旅费，以在2012年1月至2012年7月之间在蒙特利尔的中心参加数学的研讨会，在“几何分析和光谱理论的主题计划”中，第一个在4月23日至27日举行的几何偏微分方程进行了第一个几何偏微分方程。特征值和征函数的几何形状（包括光谱渐近学和水平集的几何形状）*几何PDE（包括Morge-ampere方程，超出表面流和RICCI流动**随机级别/概率的过程（包括几何和分析），包括在几何和分析中，包括随机的次数和分析，并参与其中，并参与其中的其他潮流，并参与其中，以及其他范围内的潮流和分析，包括潮流和分析的范围）这次，包括预备小型和特殊讲座。许多以前的主题课程的会议记录已与AMS合作发布，预计将来自美国的许多演讲者和参与者将为约65位美国数学家提供旅行费用，他们在职业生涯的早期就参加了在2012年前半段的蒙特利尔（Montreal）的工作期间，他们在2012年前半段的蒙特利亚工作中都在整个工作室中属于整个工作室。作为液体，热量和重力）。在过去的10 - 20年中，这种关系一直是数学最活跃的研究领域之一，而格里格里·佩雷尔曼（Grigory Perelman）对庞加罗（Poincare）猜想的解决方案是最著名的实例。通常，CRM（CRM Recherches Mathematiques）每年举办其中一两个主题计划，它们吸引了来自加拿大，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生产性合作的绝佳方法，而从这样的NSF赠款中的资金通常是开始美国数学家参加这样的会议的唯一途径（即使S/He在发表演讲）。 http://www.crm.umontreal.ca/analysis2012/index.php/