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几何渐近会议。本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。一个共同的主题将是渐近技术，在复杂和代数几何。会议将促进这一主题内不同领域的合作，并将向新一代数学家介绍这一领域的快速发展。 会议将广泛宣传，以吸引广泛参与。近年来，在复几何方面取得了很大的进展，包括几个重大突破。 这项工作的大部分在于两个看似不同的领域的交叉点：非线性几何PDE和代数几何。 复杂几何中非线性偏微分方程解的存在性，如Kahler-Einstein度量或常数标量曲率Kahler度量，与代数几何条件（包括子簇和代数退化）密不可分。 这些深层对应的核心是渐近性问题。本次会议将汇集专家对广泛的相关主题：偏微分方程在复杂的几何;非阿基米德几何; K-稳定性的奇点;多能理论。 会议网站是：https://sites.google.com/view/asymptotics/This奖反映了NSF的法定使命，并已被认为是值得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的支持。

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.