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08-27【张友金】管楼1318吴文俊数学重点实验室-吴文俊讲座

澳门新葡新京:系统管理员发布时间:2019-08-23浏览次数:16

题目:Virasoro symmetries of the Drinfeld-Sokolov hierarchies and Painlevé type equations

报告人:张友金 教授,清华大学

时间:8月27号(周二)上午10:00-11:00

地点:东区管理科研楼1318教室

摘要:For the Drinfeld-Sokolov hierarchy associated to an affine Kac-Moody algebra, we construct its tau-cover and derive its Virasoro symmetries. By imposing the Virasoro constraints, we obtain solutions of Witten-Kontsevich and of Brezin-Gross-Witten types of the integrable hierarchy, and those characterized by certain ODEs of Painlevé type. We also establish certain Weyl group actions on such Painlevé type equations.
 

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