The current in-game date is July 12th, 2014.
Major upcoming events in game include:
Dark Hunter 4: Venice Nightmares released for Playstation 3, Primus Next, X-Box 360 and PC: July 9th
DDR Dance Off Competition: July 11th.
Human Safety Society Protest March: July 12th.
Minute Men Meet-up and Shakedown: July 13th