代数与表示论学术报告

报告题目：The Hochschild cohomology groups under gluing operations

报告人: 刘玉明 教授（北京师范大学）

摘要：Let A be a finite dimensional k-algebra of the form kQ/I where Q is a quiver and I is an admissible ideal in the path algebra kQ. It is well-known that if the quiver Q contains a source vertex v and a sink vertex w, then by gluing v and w we obtain a subalgebra B of A such that there is a stable equivalence between A and B. However, this kind of stable equivalence is not of Morita type, and the Hochschild cohomology groups of A and B are usually not isomorphic. By testing some specific examples, there seems still exist some nice relationships between the Hochschild cohomology groups of A and B. In this talk, I will show that there are indeed some intrinsic relationships between the Hochschild cohomology groups (at least in degree zero and in degree one) for monomial algebras under gluing two arbitrary vertices (not necessarily a pair of source and sink vertices). I will also show that the similar results hold under gluing two arbitrary arrows. This is a joint work with Lleonard Rubio y Degrassi and Can Wen.

报告时间：2023 年 4 月 11 日（周二）下午 2:00 -3:00

报告地址: 校本部教学 2 楼 613 教室

联系人: 惠昌常 陈红星