Adventure

The Adventure tab is where you will spend most of your time. Here you can access Stages, the Global and Guild Chats, the Mailbox, Rank, Pokedex, Compose, and Hold Items info. From here you can also change the Map, visit the EXP Farm, or switch to Auto mode, which will automatically challenge the next stage when it becomes available. It will not, however, switch your attacks once in the stage to automatic, so if you plan to let the game run while you're away you should make sure you're on auto battle mode first.

Edit: There is a new feature called EXP Compensation, where you can claim extra EXP to help you progress. You can claim the allotted amount for free or you can spend Diamonds to collect an increased amount. It may be worth it to get the 2x compensation as it is only 50 Diamonds and will help in the long run.