摘要：
Let $(H, \mathcal{R})$ be a quasi-triangular Hopf algebra or a quantum group, $\mathcal{C}$ the representation category of $H$, which is a braided tensor category. The transmutation of $(H,R)$ is a braided Hopf algebra in the category $\mathcal{C}$. We study the braided autoequivalences of the Drinfeld center $\mathcal{Z(C)}$ which are trivializable on $\mathcal{C}$. To this end, we need to develop a general braided bi-Galois theory for Hopf algebras in braided tensor categories, and study quantum-commutative bi-Galois objects in the braided tensor categories. After establishing the aforementioned theory, we will apply it to compute the Brauer group of the quantum group $(H,R)$.

主持人：胡乃红 教授