Title: Quantum Symmetric Spaces and Sklyanin Determinants
Speaker: Naihuan Jing
Institution: North Carolina State University
Date & Time: July 14, 2024, 9:30–11:30
Location: Room 209, Zhengxin Building, Jilin University
We investigate the invariant theory of quantum symmetric spaces of symplectic and orthogonal types. Specifically, these quantum symmetric spaces are realized as subrings of the quantum coordinate ring
Mq(N), where the defining relations involve quantum minors, Sklyanin determinants, and quantum Pfaffians. One key result establishes that, in a special case, the square root of the quantum determinant is essentially equivalent to the Sklyanin determinant, addressing a question posed by Noumi. This work is conducted in collaboration with Jian Zhang.
Naihuan Jing, PhD from Yale University, is a tenured professor at North Carolina State University. His research focuses on infinite-dimensional Lie algebras, quantum groups, representation theory, algebraic combinatorics, and quantum computing. Professor Jing’s contributions to symmetric function theory include the internationally recognized “Jing operators.” He has published nearly 100 papers in major mathematical journals and edited five academic works.
