A philosopher at a university presently hiring writes:
One of the best ways for candidates to display their interest in a department's program and especially their graduate program (if it has one) is to be sure to talk to the students themselves about their interests and research plans, and to find opportunities to pay attention to them during the visit. Many departments take student opinions about visiting candidates very seriously (especially graduate students), and may well solicit their input on hiring. Most candidates know this, or have heard this, or indeed may have thought this themselves during a candidate visit to the program they are in. But it is worth being reminded of it, since it is easy to forget during the visit itself. One doesn't want unintentionally to create the wrong impression.