When do these trigger with their respective Victory Conditions? It seems like Wonder triggers once the you unlock the ability to build Wonders. But I would love to see a complete breakdown.

Hi :)

The warning are triggered when a player reaches a 50% and a 75% progress threshold towards a victory condition.

However, I'll admit that ideally, we should be giving each threshold its own notification (and making these notifications a bit more precise) 

Cheers,

How about just changing the phrasing at 50% to something like:  "Faction X is making progress towards a (victory type here) victory!"  or some variant that suggests they're heading that direction but not "almost" there yet?

Thesaurus don't fail us now!

Hello daynen! There is also a idea in games2gether that explains about victory conditions and requests from the devs to make them clearer. Here is a link for it (I hope the devs look at it) 

https://www.games2gether.com/endless-space-2/ideas/1941-clarify-victory-conditions