报告时间:2022年03月23日(周三)上午:9:30-10:30
报告地点:Zoom:895 9511 2843 Password:615046
报告人: 程舜仁 教授
工作地点:Academia Sinica
举办单位:万象城官方网站(中国)有限公司
报告摘要: We explain certain categories of Whittaker modules over the general linear Lie superalgebras that can be realized as properly stratified categories. These categories turn out to be equivalent to certain Serre quotients of the BGG category O. Using this realization we show that these Whittaker categories categorify certain q-symmetric Fock spaces over the infinite-rank quantum group of type A. In this picture, the canonical and dual canonical bases in these q-symmetric Fock spaces correspond to tilting and simple objects in these Whittaker categories, respectively. This talk is based on a joint work with Chih-Whi Chen and Volodymyr Mazorchuk.
报告人简介: 程舜仁,台湾Sinica研究所教授,主要从事李超代数表示理论的研究。1993年博士毕业于哈佛大学。毕业后就职于台湾Sinica数学所,曾分别在德国马普所,台湾成功大学,台湾大学开展研究工作。2011-2020担任Sinica研究所的所长,目前担任台湾理论研究中心(NCTS)的副主任,在Invent. Math.,Duke Math. J., Adv. Math., Comm. Math. Phys., 等数学顶级杂志上发表多篇高水平学术论文50多篇。