Conference: Riverside Workshop on Geometric Group Theory 2024

该奖项为第二届几何群论河畔研讨会提供资金，该研讨会将于2024年5月3日至6日在加州大学河畔分校举行。本工作坊将以三门由在几何群论领域工作的早期职业数学家讲授的迷你课程为特色。这是一个活跃的研究领域，位于几何，代数和动力系统的界面，有许多应用，特别是在低维拓扑，并在过去的几十年里看到了许多突破性的成果。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。每位演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，反映出2023年的活动版本。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：Abdalrazzaq Zalloum（多伦多大学），他将讲述CAT(0)和内射空间的几何；艾米丽·斯塔克（卫斯理大学），她将谈论群体的界限；崔仁赫教授（韩国高等研究院）将发表关于团体的随机漫步及其应用的演讲。研讨会的网站是https://sites.google.com/view/rivggt24/home.This。该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。

This award provides funding for the second Riverside Workshop on Geometric Group Theory, which is to be held May 3-6, 2024, at the University of California Riverside. This workshop will feature three minicourses given by early-career mathematicians working in the field of geometric group theory. This is an active area of research lying at the interface of geometry, algebra, and dynamical systems, with many applications especially to low-dimensional topology, and which has seen many break-through results over the past decades. 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, mirroring the 2023 version of the activity.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: Abdalrazzaq Zalloum (University of Toronto), who will speak on the geometry of CAT(0) and injective spaces; Emily Stark (Wesleyan University), who will speak on boundaries of groups; and Inhyeok Choi (Korea Institute for Advanced Study), who will speak on random walks on groups and their applications. The website of the workshop is https://sites.google.com/view/rivggt24/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.