题   目： Generalized additional symmetries of the two-Toda lattice hierarchy

报告人： 程纪鹏博士    中国矿业大学（徐州）数学科学学院

时   间： 2011年10月26日  下午2:30-3:30

地   点： 管理科研楼1518室

摘   要:  In this talk we will report the generalized additional symmetries of the two-Toda lattice hierarchy. The new additional symmetries are found, i.e., Beltrami algebra and Block type algebra symmetries. In order to discuss the actions of these algebras on tau-function, we restrict the two-Toda lattice hierarchy to the semi-infinite case, which is related to the two-matrix integrals. A new trace formula is derived. By using this we present the actions of the Beltrami algebra and Block type algebra on the two-matrix integral.

主办单位：中国科学技术大学数学科学学院    国家数学与交叉科学中心合肥分中心    中科院吴文俊数学重点实验室

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