Speaker: Prof. Chaozhong Wu, Sun Yat-sen University           

Title: Virasoro constraints for Drinfeld-Sokolov hierarchies and equations of Painlevé type

Language: Chinese 

Time & Venue: 2024.11.13  14:30-15:30  腾讯会议号：882-769-369

Abstract: By imposing Virasoro constraints to Drinfeld-Sokolov hierarchies, we obtain their solutions of Witten-Kontsevich and of Brezin-Gross-Witten types, and those characterized by certain ordinary differential equations of Painlevé type. We also show the existence of affine Weyl group actions on solutions of such Painlevé-type equations, which generalizes the theory of Noumi and Yamada on affine Weyl group symmetries of the Painlevé-type equations. This work is joint with Si-Qi Liu and Youjin Zhang.