Speaker：Ming Lu (Sichuan University)

Time：2021-04-01 16:30

Location：Conference Room 106 at Experiment Building at Haiyun Campus

Abstract:

A quantum symmetric pair consists of a quantum group and its coideal subalgebra (called an i-quantum group). A quantum group can be viewed as an example of i-quantum groups associated to symmetric pairs of diagonal type.

Recently, we introduced a Drinfeld type presentation for affine i-quantum groups and obtained a geometric construction via (weighted) projective lines. It is a part of the program “i-Hall algebras and quantum symmetric pairs” initiated by Weiqiang Wang and the speaker in 2018. In this talk, we mainly focus on the i-quantum group of type affine sl2, which is also called q-Onsager algebra. The Drinfeld type presentation of the q-Onsager algebra is introduced, and it can be realized by using the i-Hall algebra of the projective line. This is joint work with Shiquan Ruan and Weiqiang Wang.