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Yamabe纪念研讨会“代数几何中的模空间”。受代数几何以及其他数学和物理领域的发展的推动，模理论出现了新的令人兴奋的方面。本次研讨会的目的是让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宝贵的机会，与领先的数学家进行互动，并向他们学习。双有理几何和最小模型程序的发展导致了高维变量模研究的进展。另一个灵感来源来自物理学中的弦理论，特别是它对代数簇中曲线的枚举几何的预测。另一个较新的链导致部分从相同的影响是研究模量在对数几何和热带几何。研讨会的目的是帮助与会者对这些新的发展有更广泛的认识。预计会议的长期效益将是数学研究的创新发展的刺激。更多信息可以在研讨会网站www.example.com上找到https://math.umn.edu/news-events/yamabe-2018This奖项反映了NSF的法定使命，并被认为值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估来支持。

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.