There is a action hook in `wp_delete_post()` called `after_delete_post`. So hook a function in that hook and redirect your user to where ever you want. You can redirect to author's page by below code-

    add_action( 'trash_post', 'the_dramatist_redirect_after_post_delete' );
    function the_dramatist_redirect_after_post_delete() {
        if ( !is_admin() ) {
            wp_safe_redirect( get_author_posts_url( get_current_user_id() ) );
            exit();
        }
    }

Hope that helps.