报告题目：Singularity categories, Hall algebras and i-quantum groups

报告人：卢明（四川大学）

摘要：A quantum symmetric pair consists of a quantum group and its coideal subalgebra (called an i-quantum group). A quantum group can be viewed as an example of i-quantum groups associated to symmetric pairs of diagonal type. In this talk, we present a new Hall algebra construction of i-quantum groups. A new class of 1-Gorenstein algebras (called i-quiver algebras) arising from quivers with involutions is introduced, and their singularity categories are characterized by the existence of tilting objects. Their Ringel-Hall algebras are isomorphic to i-quantum groups. This is joint work with Weiqiang Wang (University of Virginia).

报告人简介：卢明，四川大学数学学院。2013年7月毕业于四川大学数学系，获理学博士学位。主要从事于同调代数、导出范畴、量子群的研究。共发表SCI论文10余篇，在Transformation Groups, Journal of Algebra，Algebra and Representation Theory，Nagoya J. Math.等期刊上发表论文多篇。

时间：2020年6月22日 上午9：00-10：00

腾讯会议 ID：439 336 591    会议密码：123654