The task overview shows all the tasks where the user is the assignee. The tasks are shown within lists. The first list is always the private tasks (1). These are tasks which are not connected to a project. Right below there are more lists for each project (2) that contains tasks assigned to you. Tapping the project name will forward you to the project details.
Tapping the name of the task (3) opens the task details. You can see the deadline (4) of each task directly in the list. If you swipe to the left (5) there are options to change the assignee, change the deadline or start a timer. The bubble on the left (6) gives you the option to change the task status or mark a task done.
If you want to create a new task, just tap the "+" (7) button.