Yet another question that remains standing is whether or not Hogwarts will reopen for Harry's seventh year. I believe it will. This is because many of the characters are important to the element of the series yet aren't amongst Harry's closeknit group of friends. Even Neville and Luna aren't in on Harry's, Ron's, and Hermione's plan of not returning to Hogwarts. If the school is closed, how will the readers know what the other important characters are doing?
As Hagrid said, Dumbledore would have wanted the school to remain open- its as safe as any other place is now. While many of the students may not return, some undoubtedly will. Amongst those would be Ginny (whom Mrs. Weasley would not allow to travel with the Trio- letting Ron go will be hard enough as it is), Neville, and Luna. I suspect Dumbledore's Army will have a strong part in the Hogwarts setting.
How long the school will be opened for seventh year is undetermined; it is liable to close at anytime. With Dumbledore dead, I do not think that Voldemort has much use for Hogwarts anymore, and I also believe that those willing to come back to the school are those who are trustworthy, thus creating a somewhat safer atmosphere. Of course, the school will overgo many hard changes, and may ultimately close sooner than expected, but I am fairly sure that the school will at least be open for a little bit.