Travel Support for US Participants in the Workshop in Geometric Group Theory

该项目的目标是增加美国对在海尔布隆数学研究所举行的几何群理论研讨会的参与，特别强调研究生、初级研究人员和在数学科学中代表性不足的少数民族。研讨会将集中讨论几何群论与非交换几何之间的相互作用，特别是关于近似性质，包括可适性，Haagerup性质，性质A（群的精确性），它们与普通群上同调和有界上同调的联系以及在Baum-Connes猜想和Novikov猜想中的应用。该研讨会将在英国布里斯托尔举行，将成为交流思想的绝佳国际平台。它将以面向初级研究人员的开放问题会议，“问专家”问答会议为特色，并将为年轻数学家建立联系和新的合作提供一个完美的机会，这将使他们在未来受益。欧洲和美国在几何和解析群论方面有领先的研究人员，在这个活跃的数学研究领域，有一个持续的知识共享需求。本项目由拓扑学项目和分析项目共同资助。

The objective of the project is to increase the US participation in the Workshop on Geometric Group Theory held at the Heilbronn Institute for Mathematical Research, with a particular emphasis on graduate students, junior researchers and minorities underrepresented in the mathematical sciences. The workshop will focus on the interactions between geometric group theory and non-commutative geometry, in particular, on approximation properties including amenability, the Haagerup property, property A (exactness of groups), their connections to ordinary group cohomology and bounded cohomology and applications to the Baum-Connes and Novikov conjectures. The workshop, to be held in Bristol, UK, will serve as an excellent international platform for exchanging ideas. It will feature open problem sessions, ``ask the expert" question-and-answer sessions aimed at junior researchers and will provide a perfect opportunity for young mathematicians to establish connections and new collaborations which will benefit them in the future. Europe and the United States have leading researchers working in geometric and analytic group theory and there is an ongoing need for sharing knowledge in this active area of mathematical research. This project is jointly funded by the Topology Program and the Analysis Program.