报告人简介：

马昕，哈尔滨工业大学数学研究院教授。2019年博士毕业于Texas A&M University，随后在美国纽约州立大学布法罗分校、美国孟菲斯大学及加拿大多伦多大学从事博士后研究。他目前的研究兴趣主要集中在动力系统、算子代数、几何群论、模型论及其与非交换几何、遍历理论、几何拓扑和描述集合论的交叉。相关论文发表在TAMS、IMRN、JLMS、JFA、ETDS、JNCG等期刊上。

报告简介：

In this talk, I will demonstrate the finite dynamical asymptotic dimension for tiling groupoids constructed from certain Delone sets in Euclidean spaces. This first resolve a question left in the thesis of Ito. As a consequence, this provides finite nuclear dimension of the corresponding twisted groupoid C*-algebras. Then I will show one can use this result (with some help using Hilbert C*-module) to obtain Balian-Low type characterization of existence of certain Gabor frames (and Riesz sequences) for non-uniform sampling (and Interpolations) on the Euclidean spaces by covolume of the Delone set. This is based on joint work with Rui Liu and Yuxuan Zheng.