報告時間:2022年03月23日(星期三) 9:30-10:30
報告平臺:Zoom ID:89595112843,Password:615046
報 告 人:程舜仁 教授
工作單位:Academia Sinica
舉辦單位:數學學院
報告簡介:
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.
報告人簡介:
程舜仁,臺灣Sinica研究所教授,主要從事李超代數表示理論的研究。1993年博士畢業于哈佛大學。畢業后就職于臺灣Sinica數學所,曾分別在德國馬普所,臺灣成功大學,臺灣大學開展研究工作。2011-2020擔任Sinica研究所的所長,目前擔任臺灣理論研究中心(NCTS)的副主任,在Invent. Math.,Duke Math. J., Adv. Math., Comm. Math. Phys., 等數學頂級雜志上發表多篇高水平學術論文50多篇。