Conference: Riverside Geometric Group Theory Workshop 2023

几何群论是几何、代数和动力系统之间的一个活跃的交叉领域，在过去的几十年里取得了许多突破性的成果，特别是在低维拓扑学中有着广泛的应用。该奖项提供资金的第一个滨江研讨会几何群论，这是将于2023年3月27日至31日在加州大学滨江。 这个研讨会将有四个微型课程，由在该领域工作的早期职业数学家提供。 每一个微型课程的主题将是一个尖端的技术或思想开发的发言者，与观众的研究生和博士后的头脑。 每个演讲者也将产生一个简短的论文的主题，他们的迷你课程，这些文件将被汇编成一本书。在几何群论的大部分机械是高度技术性的，所以希望进入该领域的研究生将受益于该领域的大思想在系列讲座，详细阐述了广泛的背景和例子的详细阐述。 受邀的微型课程演讲者是：马修达勒姆（加州大学，滨江），他将就映射类组和曲面束的层次几何进行演讲; Anne Lonjou（Université Paris-Saclay），他将就几何群论在代数几何中的应用发表演讲;玛丽莎·卡维希（威斯康星大学麦迪逊分校），谁将发言的几何映射类组的无限型表面和他们的映射环面;和Jean-Pierre Mutanguha（高级研究所），他将讲述自由群自同构的映射环面的几何学。 欲了解更多信息，请参阅会议网站：https://sites.google.com/view/riggthew-2023/home.This奖项反映了NSF的法定使命，并已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的支持。

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.