The context of the passage is an action that is going to take place in the future. Simple future tense takes the base form of the verb with the auxiliary verb 'will' which denotes the future tense. Thus, "will invite" in option C is the correct answer.
"To invite" in option A is the to infinitive of the verb. It is used to express the purpose of something or someone's opinion. This is incorrect in this context.
"Invited" in option B is the past participle of the verb. This is incorrect as the verb form for the future tense is required here.
"Is invited" in option D is the present participle whereas, the future tense is required.
Thus, option C is the correct answer.