Specifically, I'd like to see the amount of visits that it gets and the geographic region. Is that possible at all? Searching in Google it looks like it was possible at some point but for the life of me I can't find it in the interface.
At this time Google Slides doesn't include a visits tracking feature so instead of sharing the presentation URL directly, embed a presentation in a web site or use a URL shortener that offer you the statistics that you need.
I.E. You could add your presentation easily to a site in Google Sites with which you could use Google Analytics for visits tracking. A simpler tool that could be good enough is Google URL Shortener, aka http://goo.gl