Asymptotic geometry of sofic groups and manifolds

用有限或紧致对象来近似无限结构的思想在现代数学中很流行。这个项目的目的是通过sofic近似进一步深入了解无限群和非紧流形的结构。自20年前Gromov引入Sofic群以来，它在纯数学和应用数学的各个领域都发挥了重要作用。我们要强调的事实是，没有离散的群体是已知的非sofic的时刻，并确实研究的后果存在的sofic近似可以被认为是一种方式来找到限制的群体暗示soficity。

The idea of approximation of infinite structures by means of finite or compact objects is prevalent in modern mathematics. It is the aim of this project to gain further insight into the structure of infinite groups and non-compact manifolds by means of sofic approximations. Sofic groups were introduced by Gromov some 20 years ago since then have played a fundamental role in various fields of pure and applied mathematics. We want to emphasise the fact that no discrete group is known to be non-sofic at the moment, and indeed studying consequences of existence of a sofic approximation can be considered as a way to find restrictions on the group implied by soficity.