Conference: Groups, Actions, and Geometries

该奖项为“群体、行动和几何”会议提供资金，该会议将于2023年7月8日至2023年11月8日在马萨诸塞州梅德福的塔夫茨大学举行。该活动将汇集研究生，博士后和教师对无限群通过几何和拓扑方法的研究感兴趣。虽然该领域相对较新，但它已经为其他数学领域做出了重大贡献。这次活动将是一个取得进一步进展、加强社区和培养新一代数学家的机会。一个主要特点将是通过专门的网络、指导和合作活动，早期职业和更资深的研究人员之间的互动。三个迷你课程和九个研究讲座将向下一代有前途的数学家介绍几何群论中最激动人心的话题和活跃的研究人员。迷你课程的暂定性题目是：1)群的虚拟代数纤维，流形拓扑纤维的代数模拟；2) Artin群，一个广泛推广辫状群和直角Artin群的群族；局部紧群，这是研究度量空间上受等距作用的有限生成群的一个强有力的框架。会议的主要目的是促进参与者之间的面对面交流，吸引和保持新的数学人才，并鼓励不同群体的早期职业研究人员。为此目的，会议将包括迷你课程附带的问题讨论会、面向早期职业参与者的海报展示、主题午餐和小组讨论。本次会议的演讲者和组织者中有一半以上来自代表性不足的数学群体，会议组织者很自豪能够代表他们领域的多样性。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，被认为值得支持。

This award provides funding for the conference “Groups, Actions, and Geometries”, which will take place at Tufts University in Medford, MA, from 8/7/2023 to 8/11/2023. The event will bring together graduate students, postdocs, and faculty interested in the study of infinite groups via geometric and topological methods. While the field is relatively recent, it has already delivered major contributions to other areas of mathematics. This event will be an opportunity to make further progress, strengthen the community, and train a new generation of mathematicians. A major feature will be the interaction between early career and more senior researchers via dedicated networking, mentoring, and collaborative activities.Three mini-courses and nine research talks will introduce the next generation of promising mathematicians to the most exciting topics and active researchers in geometric group theory. The tentative topics for the mini-courses are: 1) virtual algebraic fibering of groups, an algebraic analogue to topological fibering of manifolds; 2) Artin groups, a family of groups vastly generalizing braid groups and right-angled Artin groups; 3) locally compact groups, a powerful framework for the study of finitely generated groups acting by isometries on metric spaces. The principal aims of the conference will be to facilitate in-person interactions between participants, attract and maintain new mathematical talent and encourage a diverse group of early career researchers. To this end, the conference will feature problem sessions attached to the mini-courses, poster presentations for early career participants, thematic lunches, and a panel discussion. With more than half of the speakers and organizers of this conference from underrepresented groups in mathematics, the conference organizers are proud to represent the diversity of their field.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.