Civilization V has a "cloud game" option that keeps the save file online. Players can then take their turn when they have a chance (though non-responsive players can break the game), and if you're running the game through Steam you'll even get a Steam notification when it's your turn. You can also define a webhook that gets called when it's somebody's turn. One of these days I'll put together a little tool that takes that webhook message and translates into a Discord PM or Discord channel post @-ing the person whose turn it is.
They specifically say that it's their way of paying tribute to Civ playing by email.
They specifically say that it's their way of paying tribute to Civ playing by email.