主持人：胡乃红 教授

报告内容简介：
Quantum affine algebras are quantum enveloping algebras of affine Lie algebras, introduced independently by Drinfeld and Jimbo in their study of the Yang-Baxter equation. Representation theory of quantum affine algebras depends mostly on the Drinfeld realization,

which was announced in 1987. Ding and Frenkel proved the presentation using the Faddeev school's R-matrix method in type A in 1993. We will discuss our recent joint work with A. Molev and M. Liu on the Drinfeld realization for other classical types. Our proof extended the R-matrix method with the help of quasideterminants, and we constructed a sequence of larger quantum algebras associated with the spectral parameter dependent R-matrix. In the end, I will also briefly discuss another presentation of quantum extended affine algebras (jointly with F. Chen, F. Kong and S. Tan).


报告人简介：
景乃桓，美国北卡州立大学教授。曾获国家海外杰出青年基金（2008），2004-05年德国洪堡学者，2003年美国富尔布莱特学者。作为客座教授多次访问美国伯克利数学研究所、德国波恩马普数学研究所、德国莱比锡马普应用数学所、京都大学数理研究所等著名数学中心。研究方向：代数学和数学物理（量子群和无限维李代数，表示论，代数组合）。