Seminar第1865期 Affine Lie algebras and tensor categories

创建时间:  2019/06/05  谭福平   浏览次数:   返回

报告主题:Affine Lie algebras and tensor categories
报告人:黄 一知   教授 (Rutgers University)
报告时间:2019年6月20日(周四)13:30
报告地点:校本部G507
邀请人:何 海安

报告摘要:I will review the existing constructions of various tensor category structures on module categories for affine Lie algebras. I will discuss the results that were first conjectured in the work of Moore and Seiberg and that led us to the construction of the modular tensor category structure in the positive integral level case. Then I will review the existing constructions and results in the following three cases: (i) the level plus the dual Coxeter number is not a nonnegative rational number, (ii) the level is a positive integer and (iii) the level is an admissible number. I will also present several open problems.

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