Can I filter the events?
Events don't have categories you can filter them by, but you can add Tags to events, and use those tags for filtering.
For example, if you need to add a tag to multiple events that are related to "Physics", you can assign a tag "physics" to all those events.
To filter all "Physics" events on the front-end, you can use a custom shortcode [ameliaevents tag='physics'] that will show only events with this tag included.