laravel 5.1 user registration database insertion

First i have a UserController controller to authenticate new users and register them. I have two methods index for login and create for registering a new user. But the Create method doesn't work, No error occurs but the data is not going to database table.

Second the signup form reload to its self after submission. signup form have no action.

The userController code :

<?php namespace App\Http\Controllers;

use Illuminate\Http\Request;
use Auth;
use App\Http\Requests;
use App\Http\Controllers\Controller;
use Illuminate\Support\Facades\Redirect;
use Illuminate\Contracts\Hashing\Hasher;
use Illuminate\Http;
use Illuminate\Support\Facades\Input;
use Hash;

class UserController extends Controller
{
    public function __construct(){
        $this->middleware('auth');
    }
    public function index()
    {
        $cred = Input::only('email','password');
        var_dump($cred);
        if(Auth::attempt($cred)){
          return Redirect::intended('index');
        }else{
          $error = "Username or password is incorrect.";
          return Redirect::to('/signup');
        }
    }
    public function create()
    {
        $user = new \App\User;
        $user->username = input::get('firstname');
        $user->username = input::get('lastname');
        $user->username = input::get('username');
        $user->email  =   input::get('email');
        $user->password = Hash::make(input::get('password'));
        $user->designation = input::get('profile_pic');
        $user->save();
        return view('index');
    }

Routes :

Route::get('/', function () {
    return view('index');
});
Route::get('index', function () {
    return view('index');
});
Route::get('login', function () {
    return view('login');
});
Route::post('login', 'UserController@index');
Route::get('/signup', function(){
    return view('signup');
});
Route::post('/signup', ['uses' => 'UserController@create']);

via Chebli Mohamed