To delete your event:

From your dashboard, click Delete (see image below). Your event and all associated information will be removed from your dashboard, and also from all community calendars that published it. 

To make changes to your event:

From your dashboard, click Edit on the event that you want to change (see video below).
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You can make changes to the date, title, summary, description, cover image, ticket link, and more. 

*Note that changes may be made immediately on some media calendars, where others will be notified of your changes and will have the option to accept them.