The Braavosi Connection
When Arya had her exhibition with Brienne, Sansa and Baelish looked on. When Brienne asked her who taught her this way of fighting she said "no one." Then Baelish bowed. It is likely he recognized the fighting style from Braavos.
In s3 when Tyrion was made master of coin and he went over the books he explained to Bronn that LF was not some magician with finance but rather he often borrowed it from the Iron Bank of Braavos. Often=relationship, relationship=time+familiarity. Bronn intrigued by usery and finance asks "what happens if I don't pay you back?" And there is an exchange of looks and Tyrion says that's why he doesn't lend money. The extended look was to imply force.
The iron bank of braavos must have a real force behind them or else they cannot reclaim monies lent. Two or three times now the bank rep was called a gambler and he says they aren't gambles, implying they always win. What could this mean?
Well what else do we know about Braavos? Other than a port and curly haired swordsmen....Valar morgulis. The temple of the many faced god (death).
Every man of braavos respects a coin. This temple is the seat of power where the iron bank increases their wealth and the faceless men are the violence to enforce it. The faceless men aren't just vengeful girls, they are assassins. They kill people for small fortunes (the traveling theater folks); the higher the profile of the target, the more expensive the hit.
The iron bank recoups their losses in flesh as a sacrifice to the God of Death, no gamble necessary.
Back to Baelish. Being from the fingers, his family rules the easternmost reach of the Vale, closest geography to Braavos in all westeros. Baelish's hair is curly, this isn't by accident. In s3ish when Cercie gets her guards to pull a knife on him (discussion of power), she talks about him choosing his own sigil, meaning he hides his families sigil. Care to guess?
the Titan of braavos' head.
All too coincidental?