How do I display the domain owner of a node in a view?
I believe that's relatively straight forward to achieve directly in your view without having to touch templates.

All you need to do is in your view, add a relationship of "Domain Source: Domain Node". This will then provide domain information against your nodes. Then in your fields you will be able to add relevant domain information against the node (using the relationship). So in your case I believe you would want to add the field "Domains: Site Name" and select the relationship in the dropdown. You should then have your site name displayed against your events which would link to the domain.

hope thats helps.
Cheers