Rutgers Geometric Analysis Conference 2022

罗格斯大学几何分析会议 2022

• 批准号: 2154782
• 负责人: Paul Feehan
• 金额: $ 3万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-05-15 至 2024-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2154782&HistoricalAwards=false
• 关键词: Rutgers; Geometric; Analysis; Conference; 2022

This award supports participation in the Rutgers Geometric Analysis Conference held May 16-20, 2022, on the College Avenue Campus of Rutgers, The State University of New Jersey, New Brunswick. The conference is a five-day meeting with a one-day summer school comprising three mini-courses and four days of research talks by twenty-one leading mathematicians from the United States and Europe. The scientific themes of the event include geometric analysis, mathematical physics, and applications to low-dimensional topology and symplectic geometry. The participants will interact with a distinguished and diverse group of mathematical leaders and rising stars. The conference aims to generate transfers of knowledge, new collaborations, and a cross-fertilization of ideas, and further inspire graduate students and early-career mathematicians.There has been exciting recent progress in geometric analysis, mathematical physics, and applications to low-dimensional topology and symplectic geometry. For example, geometric flows are of great current interest due to their many applications. For Ricci flow, there has been progress in understanding the structure of solutions, their singularities, their asymptotic limits, and uniqueness. Flows starting from more general initial data (for example, a metric space, or a manifold with unbounded curvature, or an incomplete metric) are becoming better understood. An improved understanding of Ricci flow may lead to advances in areas such as general relativity, string theory, low-dimensional topology, and renormalization in quantum field theory. Further study of mean curvature flow may lead to advances in general relativity, image processing, material science, and minimal surfaces. The meeting will bring together experts at the frontier of research in these areas from around the world.The conference website is: https://www.sas.rutgers.edu/cms/finmath/geometric-analysis-conf-2022This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项支持参加 2022 年 5 月 16 日至 20 日在新不伦瑞克新泽西州立大学罗格斯大学学院大道校区举行的罗格斯几何分析会议。此次会议为期五天，并举办为期一天的暑期学校，其中包括三门迷你课程和四天的研究讲座，由来自美国和欧洲的 21 名顶尖数学家参加。该活动的科学主题包括几何分析、数学物理以及低维拓扑和辛几何的应用。参与者将与一群杰出的、多元化的数学领袖和后起之秀进行互动。会议旨在促进知识转移、新的合作和思想的交叉传播，并进一步激励研究生和早期职业数学家。几何分析、数学物理和低维应用方面最近取得了令人兴奋的进展拓扑和辛几何。例如，几何流由于其许多应用而引起了人们的极大兴趣。对于里奇流来说，在理解解的结构、奇点、渐近极限和唯一性方面取得了进展。从更一般的初始数据（例如，度量空间，或具有无界曲率的流形，或不完整度量）开始的流正在变得更好地理解。对里奇流的进一步理解可能会导致广义相对论、弦理论、低维拓扑和量子场论重整化等领域的进步。对平均曲率流的进一步研究可能会促进广义相对论、图像处理、材料科学和极小曲面的进步。此次会议将汇集来自世界各地这些领域研究前沿的专家。会议网站为：https://www.sas.rutgers.edu/cms/finmath/geometric-analysis-conf-2022该奖项反映了 NSF法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。