When using Windows (10) I can press Win+↓ to minimize the current window.
In elementary OS freya I cannot do it and instead it opens the virtual desktops
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If you go into System Settings --> Keyboard, you should be able to change the shortcut for minimizing the current window. If you change it to a shortcut that's already in use (such as Win+↓), the old shortcut will be removed and your new shortcut will replace it.