Academic Report of School of Mathematical Sciences [2026] No. 016

(Series Report for High-Level University Construction No. 1275)

Title：Drinfeld Presentation of Twisted Yangians and Applications

Speaker：Kang Lu, Assistant Professor (Southern University of Science and Technology)

Time：15:30-16:30, Mar. 12, 2026

Location：Huiwen Building 1420

Abstract：In recent joint work with Weiqiang Wang and Weinan Zhang, we have obtained Drinfeld-type current presentations for twisted Yangians of type AI and beyond. These presentations are realized through Gauss decomposition and the degeneration of affine iquantum groups. In this talk, I will discuss recent progress in the study of these twisted Yangians (iYangians) and their applications. Key topics include their coideal structure, their shifted generalizations, and their connections to finite W-algebras of classical types and affine Grassmannians islices (if time permits). This talk is based on joint works with Yung-Ning Peng, Lukas Tappeiner, Lewis Topley, Weiqiang Wang, Alex Weekes and Weinan Zhang.

Speaker Profile：Kang Lu is an Assistant Professor at Southern University of Science and Technology. He received his Ph.D. in 2020 from the Indiana University–Purdue University Indianapolis (IUPUI) in the United States. From 2020 to 2025, he conducted postdoctoral research at the University of Denver and the University of Virginia. His primary research interests lie in quantum integrable systems and quantum group representation theory. His research findings have been published in internationally renowned academic journals such as Commun. Math. Phys., J. High Energ. Phys., and Int. Math. Res. Not. (IMRN).

Faculty and students are welcome to attend!

Invited by: Jinkui Wan

School of Mathematical Sciences

March 5, 2026