Work-the-room Definition

verb

(idiomatic, of a host, hostess, or guest) To interact enthusiastically with the attendees at an event, by moving among them, greeting them, and engaging them in conversation.

As a campaigning politician, he really knew how to shake hands, kiss babies, and work the room.
Wiktionary

(idiomatic, of a performer or public speaker) To interact with one's audience, taking cues from its reactions and adapting one's performance or words to elicit the audience's attention and enthusiasm.

Wiktionary