On occasion during talks, presenters will say, "as you know from reading my papers" or during a Q&A someone will say "you should know from my papers".
The above clearly seems inappropriate for most settings outside of a group meeting. However, to what extent should I expect my audience to know what I am talking about vs. completely assuming that my audience know nothing?
I guess that this would strongly depend on the culture within your scientific domain. In my case (software engineering) making this assumption would be inappropriate. You can suggest to read your paper if, e.g., there are some technical details you are not going to present since they might not be of general interest, but you cannot assume that this already happened.