hi, I have been trying to grasp the chords they're playing on this one -
even though they may play different variations of the chords as seen in the video, 
these go with the song very well

chords used:

EA DG Be
Bm*  x 2 4 4 3 x
*    x x x x 3 2 very short
Em (022000@1) 0 2 2 0 0 0
**   x 2 0 x x x very short
A (x02220@1)  x 0 2 2 2 0
***  x x x 2 2 2 very short
Bmi (x2022x@1)7 9 9 7 7 7
Am7 (x02010@1)x 0 2 0 1 0
Em/G 3 2 2 0 0 0
G (320003@1)  3 2 0 0 3 3
F#m (244222@1)2 4 2 2 2 2

you can either play the opening part as chords (Bm D - Em G - A F#m7 - Bm)
or you can, like myself rather strum out individual strings to substitute
for whole chords (thus skipping transitions to D, G and F#m7) - these ar
noted below as *, ** and *** - the good thing about playing it this way is
that you can pretty much leave the fingers of your left hand (for 
right-handed players) in the position of the preceding chord - this makes
for a more consistent sound of the song, I feel. try it out both ways and you'll see.
Please note that I'm using Bm and Bm* which is the same chord only played 
at different parts of the neck.

Bm*           *    Em (022000@1)       **   A (x02220@1)        ***     Bm*

Bm*           *    Em (022000@1)       **
After leaving      my apartment
A (x02220@1)        ***     Bm*
I feel this        cold inside me

On my way to your apartment
I write for fear of silence
You carved a boat to sell my shadow
A (x02220@1)           Bm*    A (x02220@1)A (x02220@1)A (x02220@1)Now I walk alone

(keep playing A and gradually increase the intensity of the sound up to where they 
introduce a new set of chords)

Bm (x24432@1)   Am7 (x02010@1)    Em/G (322000@1)   G (320003@1)Bm (x24432@1)          Am7 (x02010@1)            Em/G (322000@1)          GI (320003@1)hit the sidewalk and this is how it starts
Bm (x24432@1)          Am7 (x02010@1)                Em/G (322000@1)         GHide (320003@1)in a raincoat when things are falling apart

Bm* F#m7
Bm* F#m7

Bm*           Em (022000@1)         A (x02220@1)         Bm*

Bm*           *    Em (022000@1)       **
After leaving      my apartment
A (x02220@1)        ***     Bm*
I hear the         coast by nightfall
So sure to keep you dreaming
You understood
Oh, I know you understood
Bm*         Em (022000@1)    A (x02220@1)    Bm*   A (x02220@1)  A (x02220@1)  A (x02220@1)  AYes (x02220@1)sir, it shows I was no good   alright, alright

Bm (x24432@1)          Am7 (x02010@1)            Em/G (322000@1)          GI (320003@1)hit the sidewalk and this is how it starts
Bm (x24432@1)          Am7 (x02010@1)                Em/G (322000@1)         GHide (320003@1)in a raincoat when things are falling apart
Bm (x24432@1)          Am7 (x02010@1)                Em/G (322000@1)         GCause (320003@1)sooner or later this is bound to stop
Bm (x24432@1)          Am7 (x02010@1)                Em/G (322000@1)         GCome (320003@1)on, let's savor what we're falling over

Bm (x24432@1)          Am7 (x02010@1)                Em/G (322000@1)         G(2x) (320003@1)
Bm*           *    Em (022000@1)       **   A (x02220@1)        ***     Bm (x24432@1)Bm*           *    Em (022000@1)       **
After leaving      your apartment
A (x02220@1)        ***     BmI (x24432@1)hear the         coast...

this is pretty much most of the song, they have a bunch of guitars 
so unless you have a band, this works for the background guitar.