Under the heading "Current Synopsis", Abed's first brief Robovision states: "Britta, Shirley, and Annie make Abed into one of the girls, with zero repercussions; Jeff, Pierce, and Troy learn a lesson about either basketball or remote toys." Later in the episode the second "Current Synopsis" reads "Britta, Shirley, and Annie make Abed into one of the girls, which backfires; Jeff and Troy discover a relaxation secret that confuses and frustrates Pierce."
From Abed's Robovision it shows a projected cycle for Shirley on 11/4/2010. It is fair to assume that this would be the beginning of the cycle. The episode aired on 11/4/2010 so it is also fair to assume that the show's calendar is very close to the real world calendar and in show-time, it is 11/4/2010 as Shirley's cycle hasn't passed, yet.
Earlier, Abed's Robovision showed that Troy's birthday is coming up in 14 days, making Troy's birthday 11/18.
Earlier, Abed's Robovision showed that Troy's birthday is coming up in 14 days, making Troy's birthday 11/18.