报告人：肖杰教授，清华大学

报告题目：Ringel-Hall algebras beyond their quantum groups

时间：2017年11月4日下午3:30

地点：数学科学学院报告厅

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Abstract：This is joint work with Fan Xu and Minghui Zhao. The aim of this talk is to clarify the relations between two definitions of comultiplications given by Lusztig and Green respectively. We construct the geometric analog of Green's theorem on the comultiplication of a Ringel-Hall algebra. It is an extension version of the comultiplication of a quantum group defined by Lusztig. As an application, we show that the Hopf structure of a Ringel-Hall algebra can be categorified under Lusztig's framework.

肖杰教授简介：清华大学数学科学系教授、博士生导师。主要科研方向为：代数表示论、导出范畴、无限维李代数、Hall代数和量子群。曾获得国家杰出青年基金，教育部跨世纪人才基金，2006年获国家教育部自然科学一等奖。