Conference: Algebraic and topological interplay of algebraic varieties

该奖项为将于2023年6月12-17日在西班牙萨拉戈萨大学雅萨校区举行的“代数与拓扑相互作用”国际会议的美国与会者提供部分支持。这次活动将汇集职业早期和高级研究人员以及学生。除了旨在传播最新发展的研究报告外，它还将包括以研究生可以接触到的级别的迷你课程形式的入门讲座。还将举行讨论和宣传会议，以更好地加强与会各研究小组之间的联系，并为职业早期研究人员和研究生提供机会。此外，会议现场提供的讲座录像以及由讲师和与会者撰写的会议论文集将有助于将会议成果带给广大观众。会议的科学焦点是复杂代数和解析簇的拓扑研究。该程序包括以下主要主题，每个主题都是由最近和基本的进展推动的：(1)奇点的拓扑学和相关领域；(2)奇点的Lipschitz几何；(3)单元群，映射类群；(4)Zeta函数和单元性猜想。拟议的主题涉及从纯数学到更多应用领域的广泛研究努力，因此会议参与者将反映数学学科的广泛横截面。近几十年来，奇点研究的基本工具已经扩展到无数的数学领域，为各种相关专业的专家和初学者提供一个像这次会议这样的机会进行互动变得越来越重要。有关会议的更多细节，请参阅：https://riemann.unizar.es/~jicogo/sonal/115AM/index.htmlThis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 provides partial support for US-based participants in the international conference “Algebraic and topological interplay of algebraic varieties” to be held at the Jaca campus of the University of Zaragoza (Spain), during the period June 12-17, 2023. The event will bring together early-career and senior researchers as well as students. Along with research presentations intended to disseminate recent developments, it will also include introductory lectures in the form of mini-courses at a level accessible to graduate students. There will also be discussion and poster sessions, to better strengthen connections among the various research groups represented and to provide accessibility for early-career researchers and graduate students. Furthermore, videos of lectures, provided by the conference site, and a conference proceedings volume of refereed articles by lecturers and participants will aid in bringing the results of the conference to a large audience. The scientific focus of the conference is on the topological study of complex algebraic and analytic varieties. The program includes the following main topics, each driven by recent and fundamental advances: (1) Topology of singularities and related fields; (2) Lipschitz geometry of singularities; (3) Monodromy groups, Mapping class groups; and (4) Zeta functions and the monodromy conjecture. The proposed topics intersect a broad range of research endeavors in fields ranging from pure mathematics to more applied areas, thus conference participants will reflect a broad cross-section of mathematical disciplines. In recent decades, the basic tools involved in the study of singularities have branched out into a myriad of mathematical territories, and it increasingly becomes important to provide an opportunity such as this conference for experts, as well as beginners, in the various related specializations to interact. For more details about the conference, please see: https://riemann.unizar.es/~jicogo/sonal/115AM/index.htmlThis 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.