Symposium on Moduli Spaces in Algebraic Geometry

该奖项支持参加2018年9月28日至30日在明尼苏达大学举行的2018年“代数几何中的模空间”Yamabe纪念研讨会。在代数几何以及其他数学和物理领域的发展的推动下，模理论出现了新的和令人兴奋的方面。本次研讨会的目的是使与会者更深入地了解这些领域的最新发现。同时，会议将为研究生和初级研究人员提供一个与顶尖数学家互动和学习的宝贵机会。二分几何和最小模型程序的发展导致了高维品种模量研究的进展。另一个灵感来源来自物理学中的弦理论，特别是它对代数变量曲线的枚举几何的预测。然而，部分受到同样影响的另一个较新的分支是对数几何和热带几何中的模的研究。研讨会的目的是帮助与会者对这些新发展有更广泛的认识。预计这次会议的长期效益将是刺激数学研究的创新发展。更多信息可以在研讨会的网站https://math.umn.edu/news-events/yamabe-2018This上找到，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，被认为值得支持。

This award supports participation in the 2018 Yamabe Memorial Symposium on "Moduli Spaces in Algebraic Geometry" held at the University of Minnesota on September 28-30, 2018. Spurred by developments in algebraic geometry, as well as in other areas of mathematics and physics, new and exciting aspects of the theory of moduli have emerged. The purpose of this symposium is to bring participants a deeper understanding of recent discoveries in these areas. At the same time, the meeting will provide a valuable opportunity for graduate students and junior researchers to interact with, and learn from, leading mathematicians.Developments in birational geometry and the minimal model program have led to progress in the study of moduli of higher-dimensional varieties. Another source of inspiration has come from string theory in physics, in particular from its predictions about enumerative geometry of curves in algebraic varieties. Yet another newer strand resulting in part from the same influence is the study of moduli in logarithmic geometry and in tropical geometry. The goal of the symposium is to help participants gain a wider perspective of these new developments. It is anticipated that a long-lasting benefit of the conference will be the stimulation of innovative developments in mathematics research.More information can be found at the symposium web site https://math.umn.edu/news-events/yamabe-2018This 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.