Conference: Groups, Actions, and Geometries

该奖项为将于2023年8月7日至2023年11月8日在马萨诸塞州梅德福德的塔夫茨大学举行的“群体、行动和几何”会议提供资金。这次活动将聚集研究生、博士后和对通过几何和拓扑方法研究无限群感兴趣的教职员工。虽然这个领域相对较新，但它已经为数学的其他领域做出了重大贡献。这次活动将是一个进一步进步、加强社区和培养新一代数学家的机会。一个主要特点是早期职业研究人员和更资深的研究人员之间的互动，通过专门的网络、指导和合作活动。三个小型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令人兴奋的主题和活跃的研究人员。迷你课程的试探性主题是：1)群的虚拟代数纤维，一种类似于流形拓扑纤维的代数；2)Artin群，极大地推广辫子群和直角Artin群的一族；3)局部紧群，研究由度量空间上的等距作用有限生成的群的强大框架。会议的主要目的将是促进与会者之间的面对面互动，吸引和保持新的数学人才，并鼓励不同的早期职业研究人员群体。为此，会议将包括与迷你课程相关的问题讨论、为早期职业参与者提供的海报演示、主题午餐和小组讨论。由于本次会议一半以上的演讲者和组织者来自数学领域代表性不足的群体，会议组织者为代表他们所在领域的多样性而感到自豪。该奖项反映了NSF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。

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.