Is there a competition between sides (Resistance vs Enlightened) for players of certain geographic areas (i.e. states/subdivisions of states, regional, or even countries)? If so, how would I join these competitions?
The Regional Score is your competition.
Menu Ring -> Scores
You get involved by making fields and capturing MU.
Different places do it differently. The best way to find out and get involved is to join your local faction chats. Some are on telegram, discord, or slack. You can ask in comms in game for someone to teach our to you. If you post your faction and country/region here, someone might also point you towards your local community.
@Perringaiden Where would I find "Menu"? On the website or on the app?
It's the bigger circle icon on your main screen, at the bottom, inside the ingress app. The same icon you tap to see your settings or operate the drone.
Well, I started with AOD (Act of Defiance) is a third party app which takes the values copied from your profile (same as agent stats) is xfaction and you can set pvp against other members
The Menu Ring is the big circle at the bottom of the main screen in the App.
There are also anomalies, competitions with thousands of players which happen on a specific day. The last one was cancelled due to the pandemic, and as yet there are no plans for the next one.