Well, it’s not smart opening your system while its still covered under warranty, you don’t want to give Apple a reason to deny your coverage!
What I can tell you is your logic board had a failure! The small tantalum capacitor located marked here failed and the spillage from it is marked as well.
[image|2176061]
This should be covered under warranty! The issue now is did you leave enough markings for Apple to question things. If they deny you, you’ll need a new logic board which depending on which model you have is somewhere between $1,000 to 3,000 - One big OUCH!