Conference: Thematic Program in Geometric Group Theory

该奖项为美国的几何群论主题项目的参与者提供支持，该项目将于2023年1月至6月在加拿大蒙特利尔的CRM举行。更具体地说，该奖项将资助来自美国各机构的约50名初级参与者参加作为该方案一部分举行的会议和讲习班。几何群论是数学的一个分支，研究抽象几何对象的对称性，范围从图形(网络系统)到曲面到三维形状，如我们的物理宇宙。对称性的几何研究是一个活跃且迅速发展的领域。该奖项将通过更多的联系和合作来加强会议，并通过传播新的技术、问题和研究想法使美国机构受益，从而为培养下一代数学家做出贡献。本学期的课程将包括围绕几何群论充满活力的子领域的6个工作坊：“测量群论”从概率的角度看待群，并且是高度交叉的；“立方体复形和组合非正曲率”包括几何群论中一个非常成熟的子领域的新主题；“子群的几何”涉及子群的几何和有限性质的研究，是该领域的一个新兴领域；“围绕3-流形的群”涉及3-流形和李群与几何群论的相互作用；“可排序群”研究具有不变左序的群，是近年来通过广泛的应用而引起人们兴趣的经典话题；关于学期活动的更多细节可以在以下网站找到：https://www.crmath.ca/en/activities/#/type/activity/id/38271请写信给：awdsearch@nsf.gov.这个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智力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 support for US based participants in the semester-long thematic program in Geometric Group Theory to be held at the CRM in Montreal, Canada during the months of January–June, 2023. More particularly the award will support the travel of approximately 50 junior participants from institutions in the United States to the conferences and workshops taking place as part of the program. Geometric Group Theory is the branch of mathematics concerned with the symmetries of abstract geometric objects, which range from graphs (systems of networks) to surfaces to three-dimensional shapes such as our physical universe. The geometric study of symmetries is an active and rapidly expanding field. This award will enhance the conferences with additional connections and collaborations, and benefit US institutions by spreading new techniques, questions and research ideas, thus contributing to the training of the next generation of mathematicians. The semester program will include 6 workshops around vibrant sub-areas of Geometric Group Theory: “Measured group theory” looks at groups from a probabilistic perspective and is highly interdisciplinary; “Cube complexes and combinatorial nonpositive curvature” includes new topics within a very well-established subfield of geometric group theory; “Geometry of subgroups” concerns the study of the geometry and finiteness properties of subgroups and is an emerging area in the field; “Groups around 3-manifolds” involves the interplay between 3-manifolds and Lie groups with geometric group theory; “Orderable groups” studies groups with an invariant left-order and is a classical topic that has become of recent interest through a broad range of applications; and “Huge groups” studies groups acting with infinite stabilizers and seeks to broaden successful aspects of the current theory.More details about the semester activities can be found at this website: https://www.crmath.ca/en/activities/#/type/activity/id/38271 Please report errors in award information by writing to: awardsearch@nsf.gov.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.