Domain Service vs Domain Events

What is the difference between using domain services and domain events? The thing I can see is that domain events allow you to further decouple your domain model and get away from using domain services. It seems the simple implementation would be to use a service and then eventually refactor to using domain events.

Additionally, it seems odd that when using Domain Events I have to wire them up in the Application Code (IOC container or with Poor Man’s DI). For example let’s say I have an Order Aggregate that calls OrderCreated which triggers an update to they Inventory System. From everything I’ve seen, I have to wire this event and event handler in application code. Again, domain services seem simpler and more encapsulated. Domain events do not seem adequate for domain-to-domain events but rather domain-to-application events.

Am I understanding this correctly or is there a much higher-level concept I’m missing?