Conference: Supplementary funding for the BIRS-CMO workshop Optimal Transport and Dynamics (24s5198)

会议：BIRS-CMO 研讨会最佳运输和动力学的补充资金 (24s5198)

• 批准号: 2401019
• 负责人: Jun Kitagawa
• 金额: $ 1.44万
• 依托单位: Michigan State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-04-15 至 2025-03-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2401019&HistoricalAwards=false
• 关键词: Conference; Supplementary; funding; BIRS; CMO

The funds from this award will support local expenses for additional participants from US institutions to the Banff International Research Station-Casa Matemática Oaxaca workshop 24w5198, “Optimal Transport and Dynamics” which will be held August 11 to August 16, 2024, in Oaxaca, Mexico. This workshop will focus on applications of the optimal transport problem, a mathematical problem where the goal is to minimize the total cost of transporting mass from one location to another, to problems involving physical processes that change with time. Such processes include interface motion (such as how water spreads on a surface), models for tumor growth, modeling fluid flows, multi-species population dynamics, and reconstruction of the state of the early universe. The workshop will provide a unique opportunity for early-career researchers to develop connections with and be exposed to the cutting-edge research of well-established leaders in the field. Additionally, the workshop will establish connections between mathematicians and cosmologists, to further accelerate development of the tools and theory behind computation in early universe reconstruction. More information on the workshop may be found at https://www.birs.ca/events/2024/5-day-workshops/24w5198. The workshop will bring together experts working in optimal transport (Monge-Kantorovich) theory with connections to dynamics interpreted in a broad sense. This includes using optimal transport and related tools to analyze and model fluid flows, interface motion in evolutionary PDE, and also the use of dynamical techniques such as the theory of the parabolic Monge-Ampère PDE for computational and theoretical analysis of optimal transport itself. Optimal transport theory has also been used as a computational model for early universe reconstruction that is consistent with the Zel’dovich approximation, by cosmologists with great success. With recent developments in cosmological surveying and the availability of new data, this area is currently experiencing a revival and is a particularly timely topic. The workshop will consist of a combination of short and long talks solicited from participants, with priority given to presentations by early-career researchers (i.e., graduate students, postdoctoral researchers, and pre-tenure faculty). To take advantage of the international diversity present in the participant list, there will also be a panel discussion on differences in academic job search procedures in different countries.This 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.

该奖项的资金将用于支持美国机构参加班夫国际研究站- casa Matemática瓦哈卡研讨会24w5198，“最佳运输和动力学”的当地费用，该研讨会将于2024年8月11日至8月16日在墨西哥瓦哈卡举行。本次研讨会将重点关注最优运输问题的应用，这是一个数学问题，其目标是将质量从一个地方运输到另一个地方的总成本最小化，涉及随时间变化的物理过程的问题。这些过程包括界面运动（例如水如何在表面上扩散）、肿瘤生长模型、流体流动建模、多物种种群动力学以及早期宇宙状态的重建。研讨会将为早期职业研究人员提供一个独特的机会，与该领域成熟的领导者建立联系，并接触到他们的前沿研究。此外，研讨会将建立数学家和宇宙学家之间的联系，进一步加速早期宇宙重建计算背后的工具和理论的发展。有关研讨会的更多信息可在https://www.birs.ca/events/2024/5-day-workshops/24w5198上找到。研讨会将汇集在最优运输（Monge-Kantorovich）理论与联系动力学在广义上解释的专家。这包括使用最优输运和相关工具来分析和模拟流体流动，进化PDE中的界面运动，以及使用动力学技术，如抛物线monge - ampatire PDE理论，进行最优输运本身的计算和理论分析。最优输运理论也被宇宙学家成功地用作与泽尔多维奇近似相一致的早期宇宙重建的计算模型。随着宇宙学测量的最新发展和新数据的可用性，这一领域目前正在经历复兴，是一个特别及时的话题。研讨会将包括从参与者中征集的短、长演讲，优先考虑早期职业研究人员（即研究生、博士后研究人员和终身教职前教师）的演讲。为了利用与会者名单中的国际多样性，还将有一个小组讨论，讨论不同国家学术求职程序的差异。该奖项反映了美国国家科学基金会的法定使命，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。