报告题目：A connection among representations of affine Lie algebra, quantum group and algebraic group over SL(2)
报告人：杨进伟
邀请人：李从辉
报告时间：2026年03月23日下午15:30-16:30
报告地点：西南交通大学犀浦校区2教X2222
摘要：Recently, T. Arakawa, T. Creutzig and K. Kawasetsu determined the category of weight modules for the simple affine sl_2 vertex operator algebra at admissible and proved their principle block is the same as the principal block of the weight modules for the unrolled small quantum groups over SL(2). We find that the principal block of this category also has some common features with the Frobenius kernel of the algebraic group SL_2, which motivates us to propose a conjectural connection between the representation category of the quantum group and that of the Frobenius kernel.
报告人介绍：杨进伟，上海交通大学副教授，本科和硕士毕业于北京大学av影片直播
，师从张继平院士，2014年在罗格斯大学取得博士学位，导师为黄一知教授。他的主要研究领域为李理论，表示论和张量范畴理论，尤其是用顶点算子代数的张量范畴理论来研究李代数、量子群、顶点算子代数等等代数对象的表示和张量范畴结构及其对应关系。主要研究成果发表在Proc. London Math. Soc., Math. Ann., Adv. Math., Comm. Math. Phys., IMRN等国际知名数学期刊上。
