Leavitt path algebras via singularity categories

2020年7月8日 10:00-11:00  Zoom 房间号：685 9743 2504

*主持人：周国栋 副教授
*时间：2020年7月8日 10:00-11:00
*地点：Zoom 房间号：685 9743 2504 会议密码：164921

*主讲人简介：

*讲座内容简介：
We will recall a remarkable result of Paul Smith, which establishes the link between the Leavitt path alegbra and the singularity category of a finite dimensional algebra A with radical square zero. Smith's result is generalized and enhanced. We prove that there are isomorphisms amomg the Hochschildcochain complex of the dg singularity category of A, the Hochschild cochain complex of the Leavitt path algebra, and the singular Hochschild cochcian complex of A. This confirms Keller's conjecture for the singular Hochschild cohomology of A. This is joint with Zhengfang Wang and Huanhuan Li.