*时间：2022年04月12日 16：00–17：00

*地点：Zoom会议：693 7501 5439  密码：640641

*主讲人：Ruben Martos

*主持人：王勤 教授

*讲座内容简介：

In this talk I will present a joint work with K. De Commer and R. Nest. The theory of projective representations for quantum groups was formalised with the notion of Galois co-object by K. De Commer ten years ago. An interesting class of such objects are the so-called “cleft ones and an open question since his work is whether any Galois co-object associated to a compact quantum group is cleft. We answer this question in the affirmative. In particular, this allows us to characterise the torsion of projective type of a compact quantum group in terms of its projective representations in an analogous manner to the case of classical compact groups. A remarkable application of this characterization is the definition of the Baum-Connes assembly map for discrete quantum groups whose torsion is of projective type.

*主讲人简介：

Ruben Martos，在巴黎第七大学获得博士学位，现在是丹麦哥本哈根大学的博士后，他的研究兴趣包括非交换几何和算子代数，他的工作涉及量化群和Baum-Connes猜想之间的联系，相关成果发表在IMRN、J. Noncommut. Geom.等著名杂志上。