Use the Project Tasks list to specify, assign and track project related tasks that need to be carried out.
The Project Tasks list in the Project Lite, Project Standard, and Project Structured templates is a not a BrightWork list. It is a standard SharePoint list.
The Project Tasks list has the following options:
Anything changes
I am made owner of a Task
A Task is assigned to me
A Task becomes complete
A high priority Task changes
Someone else changes a Task owned by me
Someone else changes a Task assigned to me
Someone else changes a Task
Someone else changes a Task created by me
Someone else changes a Task last modified by me
Someone changes an item that appears in the following view: