Register the After Header widget area in Hybrid-Core

after_header_widget.php

add_action( 'hybrid_after_header', 'hook_widgets_after_header', 9 );
register_sidebar( array( 
    'name' => __('Hook: After Header', 'hook_widgets'), 
    'id' => 'hook-after-header', 
    'before_widget' => '<div id="%1$s" class="widget %2$s widget-%2$s"><div class="widget-inside">', 
    'after_widget' => '</div></div>', 
    'before_title' => '<h3 class="widget-title">', 
    'after_title' => '</h3>' ) );
/**
 * Output the After Header widget area.
 * @since 0.1
 */
function hook_widgets_after_header() {
	if ( !is_active_sidebar( 'hook-after-header' ) )
		return;

	echo '<div id="utility-after-header" class="utility utility-after-header">';
		dynamic_sidebar( 'hook-after-header' );
	echo '</div>';
}