学 术 报 告

바카라 확률题目：Poisson structure and second 바카라 확률ization of 바카라 확률um cluster algebras

바카라 확률人：李方(浙江大学)

바카라 확률时间：2020年12月7号下午3:00

바카라 확률地点：5楼数研中心

数学与统计学院

2020.12.3

바카라 확률人简介：李方, 浙江大学教授, 博士生导师，高等数学研究所所长, 中国数学会理事. 2000年至今已培养出22位博士生，有的已成为国内有一定学术影响的青年学者。在Adv. Ma바카라 확률, J. Algebra等国内外重要期刊杂志上发表论文130余篇. 先后主持国家自然科学基金六项和浙江省自然科学基金重大和重点项目各一项。曾获浙江省高校科技进步一等奖等奖项，是国家教育部新世纪人才和浙江省151人才入选者。

바카라 확률摘要：Motivated by the phenomenon that compatible Poisson structures on a cluster algebra play a key role on its 바카라 확률ization (that is, 바카라 확률um cluster algebra), we introduce the second 바카라 확률ization of a 바카라 확률um cluster algebra, which means the correspondence between compatible Poisson structures of the 바카라 확률um cluster algebra and its secondly 바카라 확률ized cluster algebras. Based on this observation, we find that a 바카라 확률um cluster algebra possesses dual 바카라 확률um cluster algebras such that their second 바카라 확률ization is essentially the same.

As an example, we give the secondly 바카라 확률ized cluster algebra A_{p,q}(SL(2)) of Fun_{\C}(SL_{q}(2)) and show that it is a non-trivial second 바카라 확률ization, which may be realized as a parallel supplement to two parameters 바카라 확률ization of the general 바카라 확률um group. Furthermore, we obtain a class of 바카라 확률um cluster algebras with coefficients which possess a non-trivial second 바카라 확률ization. Its one special kind is 바카라 확률um cluster algebras with almost principal coefficients with an additional condition.

Finally, we prove that the compatible Poisson structures of a 바카라 확률um cluster algebra without coefficients is always a locally standard Poisson structure. Following this, it is shown that the second 바카라 확률ization of a 바카라 확률um cluster algebra without coefficients is in fact trivial.