Associate your QuickBase records to as many individual calendars as needed. This allows for viewing one, many or all of your team members calendars.
Enable reminders and agendas to be sent to you via email. You can also take advantage of integration with your smart phone to see your respective events on your mobile device.
And don't forget to take advantage of all of the extensions, tools and add-ons available for Google Calendar to make your database system a more powerful event/activity management application.