Calendar invites don't send from the app?

webcal / ical subscriptions can be synced (their urls).. if you go to Settings → Accounts → My Account → Settings → (your username) → tab to the right “webcal” - are there any entries and if, their sliders enabled?

Edit: as aibd said, newly created calendars aren’t pulled automatically, that’s a limitation, but events created on either side surely should sync once the calendar is known