Hi there, welcome to technet.
So if I understand, you're relation structure is:
Events --- have many (one way) ---<- Teams ->-- have many (both ways) ---<- People
It sounds to me like you might be missing a table somewhere, you should have the tables:
Event Team Members
You need the "Event Team Members" intermediary table to be able to account for your People having many teams, and your teams having many people, this is referred to as a "many-to-many relationship".
Once you have this structure fixed, you can use "go to related records" from Events to pull a list view of "People", related through the chain of relation noted above.