Conference: Asymptotics in Complex Geometry: A Conference in Memory of Steve Zelditch

该奖项将资助将于2024年3月7日至10日在西北大学举行的复杂几何中的渐近学会议。这次会议的目的是聚集复杂几何领域的专家，报告和了解最近令人兴奋的发现和技术。一个共同的主题是复数和代数几何中的渐近技巧。这次会议将促进这一学科内不同领域的合作，并将向新一代数学家介绍这一领域的快速发展。会议将进行广泛的广告宣传，以吸引更多的人参加。近年来，在复杂几何方面取得了很大进展，包括几项重大突破。这项工作的大部分是两个看似完全不同的领域的交集：非线性几何偏微分方程组和代数几何。复杂几何中的非线性偏微分方程解的存在与涉及子簇和代数退化的代数几何条件密不可分，如Kahler-Einstein度量或常标量曲率Kahler度量。这些深刻对应的核心是渐近性问题。这次会议将汇集一系列相关主题的专家：复数几何中的偏微分方程组；非阿基米德几何；奇点的K稳定性；多势理论。会议的网站是：https://sites.google.com/view/asymptotics/This奖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 will fund a conference on Asymptotics in Complex Geometry to be held at Northwestern University, March 7-10, 2024. The purpose of this conference is to gather experts in the field of complex geometry, to report and understand the recent exciting discoveries and techniques. A common theme will be asymptotic techniques, in complex and algebraic geometry. The conference will facilitate collaboration across diverse areas within this subject and will introduce the rapid developments in this area to a new generation of mathematicians. The conference will be widely advertised to attract broad participation. In recent years, there has been much progress, including several major breakthroughs, in complex geometry. Much of this work lies at the intersection of two seemingly disparate fields: nonlinear geometric PDE and algebraic geometry. The existence of solutions to nonlinear PDEs in complex geometry, such as Kahler-Einstein metrics or constant scalar curvature Kahler metrics, is inextricably tied to algebro-geometric conditions involving subvarieties and algebraic degenerations. At the heart of these deep correspondences are questions of asymptotics. This conference will bring together experts on a wide range of related topics: PDEs in complex geometry; Non-Archimedean geometry; K-stability of singularities; Pluripotential theory. The conference website is: https://sites.google.com/view/asymptotics/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.