So all I can imagine is that Olivia's will stipulates that her funeral have a "Survivor tribal council feel" because we're on a beach with torches all over the place, and Peter is at a lectern stammering out something about how Olivia Dunham, his wife, was everything to me. To him! To him, I mean! Freudian slip there, what? Anyway, then they cut the audio while Peter talks, so let's just assume Peter cribbed the eulogy from the funeral part of Four Weddings and a Funeral. Once you've dried your eyes after watching that, any other pop culture funeral sounds phoney and trite. We listen to music while the camera shows us all the people who are here for the funeral: Ella, Astrid, Nina Sharp... Broyles is there, looking like he's thinking, "Now I know why you humans cry." Walter's there, guarded. Soldiers fold the flag and give it to Ella with a salute, and she fidgets with it on her lap. Astrid cries.
And then Peter sets fire to the log boat on which the coffin is set. Cremation at sea, apparently. Entirely in keeping with Olivia's Nordic heritage. The flower-bedecked bier is then pushed off into the water, and we watch everyone watch it, lips quivering, tears rolling down their cheeks, etc. Peter more than the others looks really pissed.
Afterwards, the ride home is blocked by heavy traffic. Walter wonders if it's some kind of protest, but Ella tells him it's the wormhole: "They're still trying to steal it up," she says, and she starts to give the driver directions for an alternate route, but Walter interrupts to say he needs to get back to his lab. It sounds urgent.
At home, Peter sits. And drinks. And broods. And looks at the empty bottle of Vodka-brand vodka. He goes over to the fridge, and pulls out another bottle -- which is kept in the same drawer as the canned Steak, like what the fuck -- and then when he closes the fridge door he notices the drawing of the family that he's NOT going to have now, and he leans his head against the door and starts to cry for the first time. He also bangs the bottle against the fridge, and I'd just like to caution him on that, because it's not like wasting the vodka is going to make Olivia any less dead.