Can I turn off notifications regarding tasks for myself?

If you do not want to receive notifications every time your allocated tasks are updated or added, you can choose to stop receiving such notifications. Just click the top user menu and go to User Settings > Notifications and remove the checkmark for the rule 'Hours and units allocated to me'. Keep in mind that this disables the notifications altogether; BQE CORE doesn't have the option to switch off notifications only for updating tasks.