Non-Isolated Singularities and Derived Geometry

该奖项为2019年7月29日至8月3日期间在墨西哥国立自治大学（库埃尔纳瓦卡，墨西哥）举行的国际会议“非孤立奇点和衍生几何”的美国参与者提供部分支持。该活动将汇集早期职业和高级研究人员以及学生。沿着旨在传播最新发展的研究报告，它将包括研究生可以参加的介绍性讲座。还将举行讨论会，以更好地加强所代表的各研究小组之间的联系，并为初级研究人员和研究生提供无障碍环境。会议的重点是奇异代数和解析簇的拓扑研究。 该计划包括以下主题，每个主题都由最近和基本的进展驱动：（1）非孤立奇点的几何和拓扑;（2）奇异品种的特征类;（3）反常层和混合霍奇模块;（4）Lipschitz几何。拟议的主题交叉了从纯数学到更多应用领域的广泛研究工作，因此与会者将反映数学学科的广泛横截面。近几十年来，研究奇点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提供一个互动和交叉授粉的机会变得越来越重要。有关会议的更多详细信息，请参阅：http://www.matcuer.unam.mx/DavidMassey60th/index.htmlThis奖反映了NSF的法定使命，并已被认为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 provides partial support for US-based participants in the international conference "Non-Isolated Singularities and Derived Geometry" to be held at the Universidad Nacional Autonoma de Mexico (Cuernavaca, Mexico), during the period July 29 - August 3, 2019. 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 include introductory lectures at a level accessible to graduate students. There will also be discussion sessions, to better strengthen connections among the various research groups represented and to provide accessibility for junior researchers and graduate students. The conference focus is on the topological study of singular algebraic and analytic varieties. The program includes the following topics, each driven by recent and fundamental advances: (1) Geometry and topology of non-isolated singularities; (2) Characteristic classes of singular varieties; (3) Perverse sheaves and mixed Hodge modules; (4) Lipschitz geometry. 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 in the various related specializations to interact and cross-pollinate. For more details about the conference, please see: http://www.matcuer.unam.mx/DavidMassey60th/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.