Thanks again for answering! As I told you I think the event is a good idea from your side. I would try to go beyond proof prompting and verification, and discussing the questions that you wrote above is the way to go.
I am mathematitian that is working as a software engineer. I have see first hand what these models are doing to SE. Its not that writting well thought, and compact code is not a good idea anymore, or that it doesnt beat LLM code, but that the people that see the value are a minority. If you write a piece of old school code in an LLM repo, it doesnt really make a difference, because old school code requires a team effort.
In maths the situation is not exactly the same. Probably reading a good piece of well thought math inside a book of LLM assisted proofs will stand out so much for the carefull reader that there will be no question about the value.
However, if the only way to get a position at a university is to print as much papers as possible, then who would risk printing 1 paper instead of 5 for doing old school maths?
So the solution to this is building a culture and community effort around these topics. And for that the topics need to be openly discussed.
Good luck with the organisation! And thanks again for the conversation!