Chronology is the science of arranging events in their order of occurrence in time. Consider, for example, the use of a timeline or sequence of events.
The word that correctly completes the given sentence above would be driving. The complete sentence is: They will be driving to Chicago next week. The verb takes the -ing form, which is the simple future tense of the verb because the action indicates that it will be done some time in the future and is not yet started.