If you wish to hide the navigation for the slideshow on your homepage, this requires a couple of additions to the flexslider.css.liquid file in your assets directory. Open this file and scroll to the very bottom. Add this code at the very end:

.banner_nav, .home-slider .flex-control-nav {
display:none !important;
}
.home-slider ul.slides {
margin-bottom:0 !important;
}

That should do it!