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A quantum analogue of generalized cluster algebras and quantum cluster algebra of type A_2^(2)【学术预告】

发布日期:2017年06月24日

  题目:A quantum analogue of generalized cluster algebras and quantum cluster algebra of type A_2^(2)

  报告人:陈学庆

  报告时间:2017年6月27日(星期二) 下午2:00-3:00

  报告地点:良乡1-104

  报告摘要:

  This talk consists of two parts. In the first part, we define a quantum analogue of a class of generalized cluster algebras which can be viewed as a generalization of quantum cluster algebras defined by Berenstein and Zelevinsky. In the case of rank two, we  extend some structural results from the classical theory of generalized cluster algebras obtained to the quantum case. In the second part, we provide the multiplication formulas for quantum cluster algebra of type A_2^(2) which generalizes Sherman and Zelevinsky's work. By using these formulas,  we naturally obtain various  good bases and positivity.

  This talk is based on joint works with L. Bai, M. Ding and F. Xu.

  报告人简介:

  陈学庆2002年博士毕业于加拿大Carleton University, 现为美国University of Wisconsin-Whitewater教授。主要从事代数表示论,丛理论等相关理论的研究,其研究工作大部分发表在Compositio Math,J. Algebra, Alg and Rep Theory, Contemporary Math等国际重要学术期刊上。