Conference: Riverside Geometric Group Theory Workshop 2023

几何群论是几何、代数、动力系统等学科的一个活跃领域，在过去的几十年里取得了许多突破性的成果，特别是在低维拓扑学方面有着广泛的应用。该奖项为将于2023年3月27日至31日在加州大学河滨分校举行的首届河滨几何群论研讨会提供资金。这个工作坊将有四个由在该领域工作的早期数学家讲授的微型课程。每门迷你课程的主题将是讲者开发的尖端技术或想法，考虑到的受众是研究生和博士后。每位演讲者还将就他们的小课程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械都是高度技术性的，因此希望进入该领域的研究生将受益于在系列讲座中对该领域的大思想的仔细阐述，这些讲座广泛地阐述了背景和例子。被邀请的小型课程讲者是：Matthew Durham(加州大学河滨分校)，他将就映射类群和曲面丛的层次几何问题发言；Anne Lonjou(巴黎大学萨克莱分校)，他将就几何群论在代数几何中的应用发表演讲；Marissa Kawehi Loving(威斯康星大学麦迪逊分校)，他将就无限类型曲面映射类群的几何及其映射环面的几何问题发表演讲；Jean-Pierre Mutanguha(高级研究所)，他将就自由群自同构的映射环面的几何问题发表演讲。更多信息，请参见会议网站：https://sites.google.com/view/riggthew-2023/home.This奖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。

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.