The problem that I would like to ask about is metamathematical, but I hope the question is appropriate.

I would like to know if there exist mathematical departments that run a regular seminar for all their PhD students both pure and applied. So that you have talks by PhD students ranging from geometry and number theory to statistics and string theory. If such successful seminars exist, I would love to hear the details how this works in practice; what do students speak about, their research or something else; are such seminars run by students themselves or by staff.