Hourly events show up under your Quests menu, and like the name suggests, they change every hour!
Each type of hourly event will detail what types of actions earn what number of points for the event!

Make sure to complete your actions during the event otherwise they won't count!

The current Hourly Event rotation schedule is:

Hero Growth
Potion Spending
Might Growth
Resource Spending
Research 
Hero Growth
Monster Slaying
Speedup Spending
Resource Gathering
Summoning Practice
Monster Slaying
Construction
Summoning Practice