Hello @AnneK39 ,
There is currently no way to share or manage an event calendar within Events 2.0. We are currently tracking interest in the development of this feature for the newer event tool. If you'd like to provide further information use cases I'd recommend posting to this Feedback thread for other Community users to check out, vote on, and provide further info for.
Events 2.0 has links available for sharing to sites -whether as links on your site, links in social posts / replies / messages, or other places a link can be pasted. Additionally, registrants have the ability to download and add the .ICS file to their own calendars if they so desire.
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When testing in my account, I go to select a list from the dropdown and all of my lists are present. Is it only the one particular list that's missing, even after scrolling all the way down on the dropdown on your side? Or does the dropdown seem to cut off after a certain number of lists, and you have multiple that aren't showing on it?
Keep in mind that this list selection while creating your event is for what list registrants will be added to if they opt into further emails, whether they're already a contact or not. Otherwise, list selection doesn't really come into play for events until you're scheduling an email you have associated with it.
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