We call a few different styles ska. Original ska is closer to reggae, then there's second wave, which picked up the tempo, and then there's 3rd wave or punk ska, which the other responder is referencing. That's pop punk with upstrokes and horns, and fedoras, like this.

It was a huge musical fad in the late 90's, early 00's, along with Swing, which was a similar modern hybrid style.