You will receive push notifications in the following six scenarios:
Someone likes your transaction that was posted in the Activity feed.
Someone comments on your transaction that was posted in the Activity feed.
One of your friends sends you a message.
You have received a friend request from a Shares user.
You have been added to a watchlist by a friend.
New assets have been added to the watchlist that you have joined.
In each of the six cases mentioned above, you can simply tap on the push notification, and the app will open the appropriate screen for you to review these actions.