*时间：2022年03月25日 16：00–17：00

*地点：线下：中北校区理科大楼A503 算子代数中心 线上：腾讯会议：620-922-943

*主讲人：李康 教授

*主持人：王勤 教授

*讲座内容简介：

We will introduce the notion of diagonal dimension for diagonal pairs of $C^*$-algebras in the sense of Kumjian, and will compare it with the usual nuclear dimension for $C^*$-algebras. For instance, the Jiang-Su algebra $\mathcal{Z}$ admits a diagonal MASA $D$ such that the diagonal dimension of $(\mathcal{Z},D)$ is equal to n for any given natural number $n$ even though the nuclear dimension of $\mathcal{Z}$ is equal to 1. We also show that the diagonal dimension of a uniform Roe algebra with respect to the standard diagonal is equal to the asymptotic dimension of its underlying metric space. Finally, we will discuss its relation to the dynamic asymptotic dimension of groupoidsintroduced by Guentner, Willett and Yu and the tower dimension of topological dynamical systems introduced by Kerr.

This is joint work with Hung-Chang Liao and Wilhelm Winter.

*主讲人简介：

李康，2015年博士毕业于哥本哈根大学，之后分别在哥本哈根大学、明斯特大学、波兰科学院、比利时鲁汶大学担任科研职位，研究兴趣包括：算子代数、K-理论、粗几何，尤其在（一致）Roe代数的结构和渐近膨胀图方面做出了出色的成果。