Conference: Riverside Geometric Group Theory Workshop 2023

几何群论是一个活跃的领域，处于几何、代数和动力系统的交叉领域，在过去的几十年里取得了许多突破性的成果，特别是在低维拓扑中有许多应用。该奖项为第一届几何群论河畔研讨会提供资金，该研讨会将于2023年3月27日至31日在加州大学河畔分校举行。本次研讨会将以四门由在该领域工作的早期职业数学家讲授的迷你课程为特色。每门迷你课程的主题将是演讲者开发的一项前沿技术或想法，听众是研究生和博士后。每位讲者还将就其迷你课程的主题撰写一篇说明性论文，这些论文将被汇编成一本书。几何群论中的许多机制都是高度技术性的，因此希望进入该领域的研究生将受益于系列讲座中对该领域大思想的仔细阐述，这些讲座广泛地阐述了背景和例子。受邀的迷你课程主讲人有：Matthew Durham（加州大学河滨分校），他将讲述映射类群和面束的层次几何；Anne Lonjou（巴黎萨克雷大学），她将演讲几何群论在代数几何中的应用；Marissa Kawehi Loving（威斯康星大学麦迪逊分校），她将讲述无穷型曲面的映射类群及其映射环面的几何；以及让-皮埃尔·穆塔古哈（高级研究所），他将讨论自由群自同构映射环面的几何。欲了解更多信息，请访问会议网站：https://sites.google.com/view/riggthew-2023/home.This该奖项反映了NSF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。

Geometric group theory is active area at the interface of geometry, algebra, and dynamical systems, which has seen many break-through results over the past decades, with many applications especially to low-dimensional topology. This award provides funding for the first Riverside Workshop on Geometric Group Theory, which is to be held March 27-31 2023 at the University of California Riverside. This workshop will feature four minicourses given by early-career mathematicians working in the field. The topic of each minicourse will be a cutting-edge technique or idea developed by the speaker, with an audience of graduate students and postdocs in mind. Each speaker will also produce an expository paper on the topic of their minicourse, and these papers will be compiled into a book.Much of the machinery in geometric group theory is highly technical, and so graduate students looking to enter the field will benefit from careful exposition of the big ideas of the field in lecture series that elaborate extensively on background and examples. The invited minicourse speakers are: Matthew Durham (University of California, Riverside), who will speak on the hierarchical geometry of mapping class groups and surface bundles; Anne Lonjou (Université Paris-Saclay), who will speak on applications of geometric group theory to algebraic geometry; Marissa Kawehi Loving (University of Wisconsin-Madison), who will speak on the geometry of mapping class groups of infinite-type surfaces and their mapping tori; and Jean-Pierre Mutanguha (Institute for Advanced Study), who will speak on the geometry of mapping tori of free group automorphisms. For more information, please see the conference website: https://sites.google.com/view/riggthew-2023/home.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.