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程舜仁: Categories of Whittaker Modules over general linear Lie superalgebras and Categorification of Fock Spaces

时间:2022-03-15来源:数学学院

报告时间:2022年03月23日(星期三) 9:30-10:30

报告平台:Zoom  ID:89595112843,Password:615046

:程舜仁 教授

工作单位:Academia Sinica

举办单位:数学学院

报告简介

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。

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