Authorization Server is the Application for issuing the OAuth Client tokens which allows access to the data on the Resource Server on behalf of Resource Owner.
Typically the Authorization Server could also be an Identity Provider (IDP) though there is no reason that they could not be separate servers.
The Authorization Server and the Resource Server could be the same server, but it doesn't have to. The OAuth 2.0 specification does not provide an Authentication protocol for the Resource Owner. It strongly suggests that OAuth Client applications should use Authorization Header for accessing the Token_endpoint, but it says nothing about the Authentication of Resource Owner when their approval is needed for a Delegation (only that they must be Authenticated). This allows Authentication completely orthogonal to the approval process, and Authorization Server are free to implement the Authentication any way they choose.
The User Managed Access standardizes their communication and this is really critical because as use cases for potentially putting them in different domains run by different companies.
Authorization Server has a Authorization Server Operator that is in User-Managed Access (UMA) Legal Person that operates the Authorization Server.