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.

该奖项支持参加罗格斯大学几何分析会议举行2022年5月16日至20日，在罗格斯大学，新玩法新泽西的州立大学校园。这次会议是为期五天的会议，为期一天的暑期学校，包括三个迷你课程和四天的研究会谈，由来自美国和欧洲的21位领先的数学家。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而多样化的数学领袖和后起之秀互动。本次会议旨在促进知识的转移、新的合作和思想的交流，并进一步激励研究生和早期职业数学家。最近在几何分析、数学物理以及低维拓扑和辛几何的应用方面取得了令人兴奋的进展。例如，几何流由于其许多应用而受到极大的关注。对于里奇流，在理解解的结构、奇点、渐近极限和唯一性方面已经取得了进展。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，或不完全度量）开始的流正变得更好理解。对里奇流的进一步理解可能会导致广义相对论、弦论、低维拓扑和量子场论中的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等领域的发展。https://www.sas.rutgers.edu/cms/finmath/geometric-analysis-conf-2022This奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。