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

该奖项将资助于2024年3月7日至10日在西北大学举行的复杂几何渐近学会议。这次会议的目的是聚集复杂几何领域的专家，报告和理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，在复杂几何和代数几何。会议将促进这一学科中不同领域的合作，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，在复杂几何方面取得了许多进展，包括几项重大突破。这项工作的大部分是在两个看似不同的领域的交叉点：非线性几何偏微分方程和代数几何。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，与涉及子变量和代数退化的代数几何条件密不可分。这些深刻对应的核心是渐近问题。本次会议将汇集有关广泛主题的专家：复杂几何中的偏微分方程；非阿基米德几何;奇点的k稳定性；多功能理论。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，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.