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Gelfand-Kirillov dimensions and associated varieties of highest weight modules

白占强 博士(苏州大学)
Wednesday, April 29th, 2020, 3:30 PM  腾讯会议 房间号:458 779 383
报告人简介: 白占强副教授,博士毕业于香港科技大学。曾在中科院数学与系统科学研究院、武汉大学等科研院校从事博士后研究与教学工作。现任职于苏州大学,主要研究方向为李群、李代数的表示论。

报告内容简介:In this talk, we will introduce the Gelfand-Kirillov dimension and associated variety of highest weight moudles of simple Lie algebras. By using a conjecture of Tanisaki, we will show that there is a bijection between the Kazhdan-Lusztig right cells and associated varieties of highest weight modules with infinitesimal character. In the second part, by using Lusztig's a-function we will give an algorithm to compute the Gelfand-Kirillov dimension of any highest weight module of classical type Lie algebras. Finally, we will give a characterization for the AV of highest weight Harish-Chandra modules of noncompact Lie gorups of Hermitian type. This talk is based on some joint work with Yixin Bao, Markus Hunziker, Wei Xiao, Xun Xie and Roger Zierau.

主持人:罗栗 副教授
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