Academic Report of School of Mathematical Sciences [2026] No. 015

(Series Report for High-Level University Construction No. 1274)

Title：Categorification of integrable highest weight modules over quantum affine gl_p

Speaker：Professor Weiqiang Wang (University of Virginia)

Time：14:30-15:30, Mar. 12, 2026

Location：Huiwen Building 1420

Abstract：Cyclotomic q-webs (introduced recently joint with Linliang Song and Yaolong Shen) have produced new algebras sitting in between cyclotomic Hecke algebras and cyclotomic q-Schur algebras. We will explain that a module category over the cyclotomic q-web for q a root of unity categorifies an integrable highest weight module over quantum affine gl_p, and the projective indecomposable modules categorify the canonical basis. This generalizes the classic works of Lascoux-Leclerc-Thibon, Ariki, and Varagnolo-Vasserot. Based on upcoming joint work with Linliang Song.

Speaker Profile：Weiqiang Wang is the Gordon Whyburn Professor in the Department of Mathematics at the University of Virginia. He is a Fellow of the American Mathematical Society and a highly influential expert in representation theory on the international stage. His research has been published in renowned mathematical journals such as Invent. Math., Duke Math. J., Memoirs of the AMS, Compos. Math., Math. Ann., Adv. Math., and Comm. Math. Phys. He received the 2020 Chevalley Prize from the American Mathematical Society and was invited to deliver a 45-minute invited talk at the 2022 International Congress of Mathematicians (ICM). In addition, Professor Wang serves on the editorial boards of several major international mathematical journals, including the International Mathematical Research Notices and Letters of Mathematical Physics.

Faculty and students are welcome to attend!

Invited by: Jinkui Wan

School of Mathematical Sciences

March 5, 2026