What are the inciting action and rising action of the play Hamlet?

The inciting incident and rising action of Hamlet can be broken down like this.

The inciting incident (the event that starts the action and conflict) is when Hamlet sees the ghost of his father and learns that Claudius murdered his father in order to get the throne and the queen. Up to this point Hamlet is angry at his mother for marrying Claudius and grieving his father’s death but has no reason to seek revenge on his uncle. Seeing the ghost pushes him to consider revenge. Hamlet’s struggle to decide whether or not to take revenge on his uncle is the conflict of the piece.

The rising action is all the events that lead up to the climax. These events include Hamlet acting insane, ending his relationship with Ophelia, the play he puts on to find out if his uncle is guilty, and his conversation with his mother about her marriage to Claudius. It also includes his decision not to kill Claudius when he catches Claudius praying alone. Hamlet kills Polonius and in doing so chooses a violent course and makes himself an enemy to Claudius.