Here you can see a list of all tasks under the currently edited project and information about them. This includes private tasks.
You can manage the tasks in the list using the appropriate action button on the left side: Edit () or Delete (). The Send reminder () button allows an e-mail to be sent to the user to whom the task is assigned, reminding them about the task. If the Allow task ordering property of the edited project is enabled, the Move up () and Move down () buttons can be used to change the order of the tasks.
The New task link can be used to add a task under the edited project.
If there is a large amount of displayed tasks, you can filter them by their title and the user they are assigned to or owned by using the filter above the list.
More resources can be found in Developer's Guide -> Modules -> Project management -> Overview.