Towards q-characters for quantum symmetric pairs
演讲者
时间
2025年11月28日 13:00 至 14:30
地点
A3-4-301
线上
Zoom 242 742 6089
(BIMSA)
摘要
q-characters appeared in work by E. Frenkel and N. Reshetikhin in 1999 as a tool to study the category of finite-dimensional modules of affine quantum group $U_q(\hat{\mathfrak{g}})$. One way to define them is via a partial trace of the universal R-matrix.
Quantum symmetric pairs consist of a quantum group and a suitable coideal subalgebra (the latter also known as i-quantum group). To such a pair one can canonically associate a universal K-matrix. With it one can play similar games as one can with the universal R-matrix.
We will discuss some recent developments, possible applications and remaining obstacles. Based on joint work with Andrea Appel (University of Parma).
Quantum symmetric pairs consist of a quantum group and a suitable coideal subalgebra (the latter also known as i-quantum group). To such a pair one can canonically associate a universal K-matrix. With it one can play similar games as one can with the universal R-matrix.
We will discuss some recent developments, possible applications and remaining obstacles. Based on joint work with Andrea Appel (University of Parma).
演讲者介绍
Bart Vlaar于2022年9月以副研究员身份全职入职BIMSA。他的研究兴趣包括代数和表示论，以及它们在数学物理上的应用。他在苏格兰格拉斯哥大学获得博士学位，之后先后在阿姆斯特丹大学、诺丁汉大学、约克大学和苏格兰赫瑞瓦特大学任职位，并访问位于波恩的马斯克博朗克数学研究所。