Title: Global Bases and Canonical Bases of Quantum Borcherds-Bozec Algebras
Speaker: Zhaobing Fan
Institution: Harbin Engineering University
Date & Time: January 3, 2025, 16:30–18:30
Location: Seminar Room 5, Mathematics Building, Jilin University
Using new Kashiwara operators, we construct global bases for the quantum Borcherds-Bozec algebra. Furthermore, we introduce primitive canonical bases and prove their coincidence with the global bases. This is joint work with Han, Kang, and Kim.
Zhaobing Fan is a professor and doctoral supervisor at Harbin Engineering University, and a national high-level leading talent. His research focuses on geometric representation theory, quantum groups, Hall algebras, Schur-Weyl duality, and character sheaves. He has published numerous papers in internationally renowned journals such as
Memoirs of AMS,
Communications in Mathematical Physics,
Transactions of AMS, and
IMRN. He has also led multiple projects, including general projects of the National Natural Science Foundation of China and the Heilongjiang Provincial Distinguished Young Scholars Program.
