The Inbox widget in the Quick Link lists the cards and To-Dos where you are assigned as the ‘Owner’.
To view a list of items assigned to you, click the Quick links widget on the right. Expand the Inbox widget. You can click a item to see its details.

Click View All to view all items assigned to you till date.

Note: If you are unable to see any items listed, click the Notifications tab in the Profile page to subscribe to receive notifications in your Inbox. Under Widget Notification Settings, click Notify me using the Notification widget (available under Quick Links panel).