I believe that the climax of the book The View from Saturday occurs when the Souls defeat Maxwell in the Academic Bowl, bringing the state championship to Epiphany. This event occurs in Chapter 10, and is the culmination of not only of a long year of hard work for the team, but signifies the end of the journey of the four members and their teacher, Mrs. Olinski. The defining moment comes when Julian correctly answers the last two questions posed by the commissioner of education. Fittingly, both questions pertain to the author Lewis Carroll, who wrote Through the Looking Glass. Julian had used that book to hide clues in making his first overtures of friendship leading to the Souls' weekly gatherings for renewal at Sillington House, gatherings from which the group gained a sense of unity and strength.
The event's climactic nature is described succinctly -
"Between reality and realization, there was a pause. It was over. There was a beat - time for hearts to skip. There was a gap - time for hearts and minds to connect. There was a moment for joy to find its home. It was over. And Epiphany had won".
Ordinarily, the Souls would come up to the stage at this point to receive their trophy, but upon their victory, they gather in appreciation around Mrs. Olinski, who is wheelchair-bound and cannot get up on the stage. The commissioner has to come down off the stage to present the trophy to the Epiphany team. The team does not want the award unless Mrs. Olinski is there with them; as a symbol of their solidarity, it is apropos that the trophy is called "a loving cup" (Chapter 10).