concerning; in regard to~
This pattern expresses that something is the topic or center of discussion, dispute, or differing opinions.
Use をめぐって when you want to say that something (a debate, argument, conversation, etc.) is happening around or concerning a particular matter. It often appears in news reports, essays, and formal discussions, and it is not used in everyday casual conversation.
The noun that follows をめぐって is the subject of the debate or the point of contention. For example, をめぐっては (with the topic particle は) is common to introduce the topic as background.
You will also see the forms をめぐる + noun (modifying a noun) and をめぐり (in written Japanese), but をめぐって is the most common and neutral. This pattern is not used for simple topics of conversation; it implies there is some controversy or different viewpoints.