We use 'after' to say something happens later than another thing or event. It shows time order, like first one thing happens, then another.
We will eat after the game.
She arrived after the meeting ended.
Sometimes 'after' acts as an adverb to say something happens later, without saying what exactly.
She came home and ate after.
Finish your work and go after.
'After' can be used in formal or legal text to mean following an event or rule, often about actions taken after laws or agreements.
After the law was enacted, companies complied.
The contract was signed after the agreement.
'After' can describe nouns to show they happen later or follow another, like 'after effects' meaning effects that come later.
The after effects were noticeable.
After school activities are popular.