Can someone recognize chords played in this "Gypsy jazz" song?

[diego]

I'm new to these kind of music and style generally, so I would really appreciate if someone would take the time and help me with what this guy is doing - I'm hearing jazz chords, and it's going in circle, but I'm lost as for what these chords are called? Thank you!

https://www.youtube.com/watch?v=9e0-4bxLook

[HHP]

They're the kind with lots of numbers and letters in their name.

[mr. beaumont]

Am6, Bm7b5, E7(B in bass)pretty much. Then triads on the top 3 strings, C, B, Bb, Ab

I'll listen more later, there's another part or 2...