SEOUL, South Korea (AP) South Korea on Tuesday offered high-level talks with rival North Korea to find ways to cooperate on next month’s Winter Olympics in the South. Seoul’s quick proposal following a rare rapprochement overture from the North a day earlier offers the possibility of better ties after a year that saw a nuclear standoff increase fear of war on the Korean Peninsula. In a closely watched New Year’s address, North Korean leader Kim Jong Un said Monday that he was willing to send a delegation to the Olympics, though he also repeated fiery nuclear threats against the United States. Analysts say Kim may be trying to drive a wedge between Seoul and its ally Washington in a bid to reduce international isolation and sanctions against North Korea. Kim’s overture was welcome news for a South Korean government led by liberal President Moon Jae-in, who favors dialogue to ease the North’s nuclear threats and wants to use the Pyeongchang Olympics as a chance to improve inter-Korean ties. Moon’s unification minister, Cho Myoung-gyon, proposed in a nationally televised news conference that the two Koreas meet Jan. 9 at the shared border village of Panmunjom to discuss Olympic cooperation and how…