There is no letter at the end
--perhaps this includes some spoilers, not sure ---
Having seen a couple of people here on the message boards referring to Aydin's letter to Nihal at the end of the movie, let me say I don't believe there was any letter.
We see him looking up to her, standing by the window, and we hear his voice (as a "voice-off") saying the text; but I believe this is to be interpreted not as a delivered letter, but as an undelivered conversation.
He is going through in his mind, the things he would like to say, or should say, "but" - he says - "my pride will never let me tell you this".
The structure and tone is not that of a letter, it is a monologue. When he finishes saying it, we see him typing on the computer, but he's not typing a letter; the title is "History of Turkish Theater", his book.
Also, there are several instances in the movie where this sort of thing happens: Necla, the sister, imagines going up to her ex-husband and asking for a complete forgiveness. There is a conversation where imaginary conversations of people "not resisting evil" occur.
So I really love this ending: more open, and leaving us to wonder about the distance between things said inside people's heads, and things actually said in dialogue, and the effect this incongruity has on relationships.