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

这项奖励的资金将用于资助来自美国机构的额外参与者参加将于2024年8月11日至8月16日在墨西哥瓦哈卡举行的Banff国际研究站-Casa Matemática Oaxaca研讨会24w5198“最佳运输和动力”的当地费用。本研讨会将重点研究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点运输到另一个地点的总成本降至最低，以及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(例如水如何在表面扩散)、肿瘤生长模型、模拟流体流动、多物种种群动力学以及重建早期宇宙的状态。研讨会将为职业生涯早期的研究人员提供一个独特的机会，让他们与该领域知名领导者的尖端研究建立联系并接触到他们。此外，研讨会将在数学家和宇宙学家之间建立联系，以进一步加速早期宇宙重建中计算背后的工具和理论的发展。有关研讨会的更多信息，请访问https://www.birs.ca/events/2024/5-day-workshops/24w5198.。研讨会将汇集从事最优运输(Monge-Kantorovich)理论工作的专家，并从广义上解释与动力学的联系。这包括使用最优传输和相关工具来分析和模拟流体流动、演化PDE中的界面运动，以及使用抛物型Monge-Ampère PDE理论等动力学技术对最优传输本身进行计算和理论分析。最优输运理论也被宇宙学家用作早期宇宙重建的计算模型，这与泽尔多维奇近似一致，并取得了巨大成功。随着宇宙学测量的最新发展和新数据的获得，这一领域目前正在经历复兴，这是一个特别及时的话题。研讨会将包括向参与者征求的短期和长期演讲，优先考虑职业生涯早期研究人员(即研究生、博士后研究人员和终身教职前教师)的演讲。为了利用参与者名单中的国际多样性，还将举行关于不同国家学术求职程序差异的小组讨论。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.