Introduction to Crystal Bases


授课专家:Kwon Jae-Hoon教授(首尔国立大学)

授课时间:

April 13 9:30–11:30 Lecture 1: Crystal Bases

April 14 9:30–11:30 Lecture 2: Crystal Bases

April 16 9:30–11:30 Lecture 3: Crystal Bases

授课地点:国家天元数学西南中心516

课程摘要:

The notion of crystal bases, introduced by Kashiwara, has become a powerful tool for understanding representations of quantum groups associated with symmetrizable Kac–Moody algebras, particularly from a combinatorial viewpoint. In these lectures, I will present an introduction to the theory of crystal bases, focusing on the case of general linear algebras and the combinatorics of Young tableaux. If time permits, I will also introduce further applications of crystals of classical Lie algebras to algebraic combinatorics.

专家简介:

Jae-Hoon Kwon,韩国首尔国立大学教授,2001年获得首尔国立大学博士学位,研究方向主要是李超代数的特征标理论、量子(超)群的晶体基,量子(超)群的组合理论等。目前已在Adv. Math., Comm. Math. Phys., Proc. Lond. Math. Soc., Trans. Amer. Math. Soc., J. Comb. Theory., J. Combin. Theory Ser. A等杂志发表60多篇高水平论文。

邀请人:卢明

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