Identity & access
Checking that someone who logs in really is who they claim to be, usually by asking for a credential such as a password.
Formal
The process of confirming a claimed identity by checking one or more credentials - something the person knows, has or is - against what the system holds on record.
In plain English
Like a border guard comparing your face with your passport photo - the only question is “are you really you?”, not where you may go.
In practice
A payroll clerk in a municipality types her user name and password, then approves a prompt in an app on her phone; only then does the payroll system accept that it really is her.
Why it matters
Every later decision about access trusts the answer given here, so weak authentication lets an attacker walk in wearing someone else's identity.