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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