The centers of enriched categories
组织者
演讲者
袁巍
时间
2021年11月23日 13:30 至 15:00
地点
1131
线上
Tencent 776 6095 6243
()
摘要
Boundary-bulk duality is one of the most important guiding principles in the study of topological orders. It states that the bulk phase is determined by an edge as its center. Recent progress in the study of topological orders revealed that the gapless boundaries of topological orders can be described by enriched categories. This observation and the boundary-bulk correspondence principle urge us to study the centers of enriched categories. In this talk, I will first review some basic facts of enriched categories, e.g., the definition and the canonical construction of enriched categories. Then I will introduce the notion of the E_0-center (E_1-center or E_2-center) of an enriched (monoidal or braided monoidal) category, and compute the centers for enriched categories obtained from the canonical constructions.