Reply To: Gap between slider and header.

Looks like you’re not using any of the slider widget areas. The only thing I see is the header, and then the Welcome area. The Welcome widget area has 80px padding at the top. So that’s where most of that space is coming from. You can look around line 1125 and adjust the padding –

.welcome .wrap {
    margin: 0 auto;
    overflow: hidden;
    padding: 80px 0 40px;
    width: 1140px;
}