The audience for the analysis and probability seminar is very culturally diverse (*) and includes doctoral students
Each presentation must therefore be designed as a colloquium, accessible to all, from beginning to end
The emphasis should be on concepts, motivation, intuition, methods, and under no circumstances on technique
The technical virtuosity doesn't interest the seminar audience, neither does the last quarter of epsilon
Feel free to expose on the board, it will slow you down and force you to say the essential things
If your usual beamer is not ideal for a colloquium, it will not be ideal for SAP
You are the ambassador of your research theme, be attractive!