Conference: Frontiers of Geometric Analysis

该奖项支持定于2024年6月3日至7日在加利福尼亚州圣克鲁斯举行的几何分析前沿会议。这次会议的计划经过精心策划，汇集了与几何和数学物理相关的各个领域的全球领导者和专家，并强烈强调分析方法。该活动旨在促进知名专家、初级研究人员和代表性不足群体成员之间的合作和知识交流，使他们能够探索这些主题和相关主题的最新研究趋势和未来方向。通过邀请来自不同研究领域的演讲者，会议旨在引发新的合作，促进思想交流。鉴于会议的多样性，它为研究生和新兴数学家提供了一个与几何分析各个方面的领先研究人员互动的绝佳机会，获得了对未来道路的宝贵见解。会议将包括近25场讲座，具体讨论三个重要且相互关联的主题的最新进展：几何流/偏微分方程组、复数和卡勒几何以及模空间的构造和应用。为了鼓励与会者之间的合作和思想分享，拟议中的会议将采用一种基于“翻转课堂模式”的独特形式。每位演讲者将发表30分钟的简短演讲，然后是20分钟的公开讨论时间，在此期间，听众可以提出问题并寻求澄清。一位对演讲主题有专门知识的会议主席将主持讨论。会议还将包括一个关于微分几何中的REU活动的小组讨论。该奖项将为在美国的参赛者提供旅行和住宿支持。欲了解更多细节，包括演讲者名单和组织信息，请访问会议网站https://sites.google.com/umd.edu/frontiers2024/overview.This，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。

This award supports the conference, Frontiers of Geometric Analysis, scheduled to take place from June 3rd to 7th, 2024, in Santa Cruz, California. The conference's program has been thoughtfully curated to bring together global leaders and experts in various fields related to geometry and mathematical physics, with a strong emphasis on analytical methods. The event seeks to foster collaboration and knowledge exchange among renowned experts, junior researchers, and members of underrepresented groups, enabling them to explore the latest research trends and future directions in these and related subjects. By inviting speakers from diverse areas of research, the conference aims to spark new collaborations and facilitate the exchange of ideas. Given the conference's diverse nature, it offers an excellent opportunity for graduate students and emerging mathematicians to interact with leading researchers from various facets of geometric analysis, gaining valuable insights into the road ahead. The conference will include close to twenty five lectures, specifically addressing recent advancements in three important and interconnected subjects: Geometric Flows/PDEs, Complex and Kahler Geometry, and Construction and Applications of Moduli Spaces. To encourage collaboration and idea-sharing among attendees, the proposed conference will adopt a unique format based on the "flipped classroom model." Each speaker will deliver a concise 30-minute presentation, followed by a 20-minute open discussion period, during which the audience can pose questions and seek clarifications. A session-chair with expertise in the topic of the talk will moderate the discussion. The conference will also include a panel on REU activities in differential geometry. This award will provide travel and lodging support for participants based in the United States. For more details, including a list of speakers and organizational information, please visit the conference website at https://sites.google.com/umd.edu/frontiers2024/overview.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.