Background coverage:

• After more than six decades, the Korean War is technically still not over. Here are photographs of the war, and a video explaining what happened — and why it matters.

• At a summit meeting on Friday, the leaders of North and South Korea signed a joint statement affirming that “a nuclear-free Korean Peninsula” would be a common goal of the two countries.

• The South Korean government said on Sunday that Kim Jong-un, the North’s leader, had declared he would abandon his nuclear weapons if the United States agreed to sign a peace treaty and promised not to invade his country. Skeptics warn that North Korea has made similar pledges in the past.

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