Beyond Hyperbolicity at the Ohio State University

该奖项支持参加将于2020年7月6日至10日在俄亥俄州立大学举行的超越双曲性会议。会议的主题是几何群论，这是一个使用代数技术来理解复杂几何空间的领域。俄亥俄州立大学长期以来一直是几何群论研究的中心，这次会议将继续这一传统。虽然双曲群和空间是几何群论会议的共同话题，但这次会议的目的是突出在组合和几何群论的其他领域所做的工作。虽然有许多会议集中在双曲群和非线性双曲群，映射类群和立体群，但相对较少的会议致力于各种其他与几何群论有关的群，如幂零和可解群，服从群，汤普森群，动力起源群，自相似群，等等。这些其他类型的群在几何群论的研究中有着悠久的历史。这次会议的重点是聚集专门研究这些主题的研究人员，鼓励对双曲群之外的几何群论中的开放问题进行富有成效的讨论。会议网站位于https://sites.google.com/view/beyondhyperbolicity.This，该奖项反映了国家科学基金会的法定使命，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 supports participation in the Beyond Hyperbolicity Conference at the Ohio State University, which will be held July 6-10, 2020. The theme of the conference is in geometric group theory, a field that uses algebraic techniques to understand complicated geometric spaces. The Ohio State University has long been a hub for research in geometric group theory, and this conference will continue in this tradition.Although hyperbolic groups and spaces are a common topic at geometric group theory conferences, the goal of this conference is to highlight work being done in other areas of combinatorial and geometric group theory. Whereas there have are many conferences focused on hyperbolic and acylindrically hyperbolic groups, mapping class groups, and cubical groups, there have been relatively few conferences devoted to a variety of other groups relevant to geometric group theory such as nilpotent and solvable groups, amenable groups, Thompson’s groups, groups of dynamical origins, self-similar groups, and more. These other categories of groups have a long history in the study of geometric group theory. The focus of this conference is to bring together researchers who specialize in these topics to encourage fruitful discussions regarding open questions in geometric group theory outside of the realm of hyperbolic groups. The conference website is at https://sites.google.com/view/beyondhyperbolicity.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.