Conference on Hyperbolic Groups and Their Generalizations

该奖项为美国早期职业数学家代表团参加于2022年6月20日至24日在巴黎举行的“双曲群及其推广”会议提供旅费支持。本次会议是Henri poincarcarve研究所“分形作用的群体”主题学期系列会议和讲座的一部分，该主题学期是2022年几何群论领域的重大事件之一。会议邀请了不同职业阶段的演讲者，并安排了几个讨论环节，旨在创造一个良好的协作环境。这项资助将允许受资助的美国数学家了解该领域的重要最新发展，与他们的欧洲同事交流他们的研究成果和研究思想，并激发新的研究合作。将特别努力确定和支持在数学领域代表性不足的群体成员，他们将从参加会议中受益。Gromov双曲性的研究是几何群论的中心课题，在几何、拓扑学、动力学、逻辑学等领域有着深刻的联系。近年来，双曲群的几个重要性质被确立，以及旨在识别高度非双曲环境中双曲痕迹的新理论的爆发。这带来了看待双曲线的新角度，以及与其他学科的许多新联系。本次会议将汇集几何群论和邻近领域的杰出研究人员，并由顶尖专家就双曲性及其推广的最新主要发展进行演讲。会议将涵盖Gromov双曲空间上群几何的几个最新进展，以及Gromov双曲与随机漫步、逻辑学、高等teichmller理论和几何测度理论之间的各种联系。本次会议还将通过数字化主办会议的所有会谈，向更广泛的数学界传播知识。欲了解更多信息，请参阅会议网站：https://indico.math.cnrs.fr/event/6577/overview.This该奖项反映了NSF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 travel support for a delegation of US-based early-career mathematicians to attend the conference “Hyperbolic groups and their generalisations” in Paris, held June 20-24, 2022. The conference is part of a series of conferences and lectures in the “Groups Acting on Fractals” thematic trimester at Institut Henri Poincaré, which is one of the major events in the field of geometric group theory in year 2022. The conference invites a range of speakers of different career stages and arranges several discussion sessions aiming at creating a conductive collaboration environment. The grant will allow the supported US-based mathematicians to learn about important recent development in the field, to communicate their research results and exchange research ideas with their European colleagues, and to spark new research collaborations. Special effort will be devoted to identify and support members of groups under-represented in mathematics who will benefit from attending the conference. The study of Gromov hyperbolicity is a central topic in geometry group theory, and has deep connections in geometry, topology, dynamics, and logic. In recent years, several important properties of hyperbolic groups were established, together with an explosion of new theories aiming at identifying traces of hyperbolicity in a highly non-hyperbolic setting. This leads to new angles of looking at hyperbolicity, as well as many new connections to other subjects. This conference will bring together prominent researchers in geometric group theory and neighboring fields and feature talks given by leading experts on recent major development of hyperbolicity and its generalizations. The conference will cover several recent major advances on the geometry of groups acting on Gromov hyperbolic spaces, as well as feature a variety of connections between Gromov hyperbolicity with topics in random walks, logic, higher Teichmüller theory, and geometric measure theory. This conference will also disseminate knowledge to the broader mathematical community by hosting all the talks for the conference digitally. For more information, see the conference website: https://indico.math.cnrs.fr/event/6577/overview.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.