What is the ruling on establishing the Friday Prayer in congregation with a sermon for three people due to a conflict between lecture times and the time for Friday Prayer, and should it be prayed as Dhuhr or Jumu'ah, and should one of them deliver the sermon, and what is the time for performing it?

The basic principle is that attending the Friday prayer in the mosque is obligatory, and studying is not an excuse for absence. You must exert effort to attend the Friday prayer and discuss with the university administration to change the time. If the administration does not respond and you fear significant harm by missing studies, then it is permissible for you to pray it as Dhuhr. It is advisable to transfer to another university where this prohibition does not arise, if possible, as preserving one's religion and performing religious obligations are of higher priority.