This is for Azure Active Directory (AD) with .NET Core 1.0 and VS 2015 Update 3.
Download the .NET Core files for Windows from Core#windows.
We want to write a web application using .NET Core that authenticates with Azure AD.
Then we want to select a web application and we also "Change Authentication" to "Work and School Accounts" and "Cloud - Single Organization".
Note there is no "on-premises" option using ADFS.
You have to enter your Azure tenant and authenticate and then the project is created together with an application in Azure AD.
The project structure looks much the same as the normal ASP.NET project created this way wrt. the Controller and Views.
Also the authentication is via OpenID Connect as you would expect.
One difference is that the configurable options are no longer in web.config but rather in appsettings.json.
Also, the tried and tested way we have used for years i.e.
ViewBag.ClaimsIdentity = Thread.CurrentPrincipal.Identity;
no longer compiles. There's tons of discussion around this but you can find the code I used in this gist.
The claims then display in the "Contact" tab in the normal way.