Kim Kwan-jin, left, the top national security adviser for President Park Geun-hye of South Korea, met Hwang Pyong-so, second from right, the top political officer of the North Korean military, and other top officials from the North in Incheon on Saturday. It was the highest-level talks in years, fueling hopes of a breakthrough in the nations’ troubled ties. Credit Agence France-Presse — Getty Images