the Columbia University arrests are worse than they seem. They're arresting protesting students for trespassing. It goes without saying students cannot meaningfully "trespass" in the common areas of a university they attend. So Columbia University has suspended all student protestors from their institution, in the process revoking their access to housing, their belonging, and most crucially damaging their academic futures. We are witnessing full scale silencing and removal of anyone of conscience from the next generation of academia.
beyond that the columbia common is literally an open space during the day; the gates are open and it's possible to pass through it like you'd pass through a regular block. even after my student ID expired i was still able to walk through the commons bc ID is not requested until you enter an actual building. it's quite common to see parents, toddlers, and such who are clearly not enrolled just hanging out. so not only were the students not trespassing at a SCHOOL THEY PAY FOR, there was also not a precedent for non-students to be disallowed from the grass and walkways.