主持人：沈耀龙
摘要：
The affine Brauer category acts naturally in representation theory of classical Lie algebras. We explain how such actions are related to 2-representations of quasi-split type AIII $\imath$-Kac--Moody 2-categories. Generalized eigenspaces of the affine Brauer dot provide the color functors. We describe the generating natural transformations in both directions using explicit diagrams, and explain the additional normalization and relation checks required at the fixed vertex 0 in the integral case. As an application, we identify the locally unital algebra associated with a cyclotomic Brauer category with that arising from the corresponding cyclotomic quotient of a principal $\imath$-Kac