What is the main conflict in The First Man by Albert Camus?

The First Man by Albert Camus is an autobiographical novel. Present day, forty-year-old Jacques Cormery goes on a search for information about his deceased father, Henri Cormery. In the first section of the novel, Jacques is born in a small village named Solferino in the Algerian countryside in 1913. The next section jumps to 1954, with Jacques as a man. The reader learns that Henri dies before Jacques' first birthday, leaving Lucie, Jacques' partially deaf and mute mother, to raise him. Henri dies in the war in France.