This is code that was valid in Polymer about ">= 0.10.5 <0.11.0" but there were several changes.
;component=1 Should be remove from all script tags.
The imports and script tags in the entry page should look like
<html>
  <head>
    <title>core-ajax-dart</title>
    <!-- when the project uses polymer -->
    <!-- <script src="packages/web_components/platform.js"></script>
         not necessary anymore with Polymer >= 0.14.0 -->
    <script src="packages/web_components/dart_support.js"></script>
    <!-- import individual polymer elements -->
    <link rel='import' href='packages/core_elements/core_ajax_dart.html'>
  </head>
  <body>
    <core-ajax-dart
      url="http://gdata.youtube.com/feeds/api/videos/"
      params='{"alt":"json", "q":"chrome"}'
      handleAs="json"
      auto></core-ajax-dart>
    <!-- if you have a custom script file that contains a main() method -->
    <script type="application/dart" src="core_ajax_dart.dart"></script>
    <!-- else if you don't have a custom script file with a main() method 
    <script type="application/dart">export 'package:polymer/init.dart';</script>
  </body>
</html>
see here how to implement a custom main method.
how to implement a main function in polymer apps