You can subscribe each Project's events calendar into your desktop Calendar app, or to Google Calendar.
To subscribe a Project Calendar, you have to:
1) Select the Project, by clicking its name in the left-hand menu.
2) Go to the Project Editing Menu and select "Subscribe Calendar" (for your desktop app) or "Copy Calendar link" (for Google Calendar).
3) Accept the Subscription request from your Calendar Desktop App or paste the link into the URL field on your Google Calendar.
See how to do this here: