When a singular and a plural subject are joined by either/or and neither/nor, the main rule applied here is always use the verb form according to the form of the closest subject. If the closest subject is singular, then use a singular verb. If the closest subject is plural, use a plural verb.
With the given compound subject, an example sentence would be:
Neither Tommy nor his dancers are informed about the changes of tomorrow's presentation. Notice that the verb used is "are", because the closest subject is the word "dancers".
