COLONIZED, comes his answer, written into the ground a moment after she asks. LATE 2300S. MINING PLANET.

So about 160 years ago for Maine. It occurs to him then that he doesn't even know what year it is now on Barrayar, or what year it was for Zarya back on Earth. After his chat with Miles, he's beginning to realize that everything is slightly more fucked up than he initially thought.

Multiverse levels of fucked up, in fact, a possibility he's only just started to consider.