Answer:
A) will talk
Step-by-step explanation:
This option is a construction of the simple future tense, which one of the ways it can be formed is by the auxiliary will / shall + the infinitive without to: will talk.
In the sentence, the verb talk must be in future because we have the preposition "after" that indicates "later in time" and "today", so the event is not happening and hasn't happened, so it will take place in the future.