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Carolyn Kaster, Pool, Associated Press
U.S. Secretary of State John Kerry shakes hands with Russian Foreign Minister Sergey Lavrov, left, at the Chief of Mission Residence in Paris, France, Tuesday, Oct. 14, 2014. The top U.S. and Russian diplomats are hoping to find a way to begin reversing a yearlong spike in tensions stemming from Ukraine's revolution and civil war when they meet Tuesday.

PARIS — The United States and Russia are vowing to cooperate more closely on a broad array of global security matters even as they remain deeply at odds over the crisis in Ukraine.

Secretary of State John Kerry and Russian Foreign Minister Sergey Lavrov (SEHR'-gay LAHV'-rahf) met for more than three hours in Paris Tuesday. Kerry emphasized afterward that the two countries would work closer together on fighting the Islamist extremists in the Middle East, dealing with Iran and North Korea's nuclear programs and other issues. He said Russia has agreed to begin intelligence sharing with the U.S. on the Islamic State.

Kerry didn't use the word "reset" — the Obama administration's first-term effort to improve ties with Russia. But he employed similar language about managing U.S.-Russian differences and forging better cooperation on shared concerns.

Differences over Ukraine clearly persisted. Kerry said Russia and the rebels it backs must halt violence in the restive east, pull back forces and weapons and release any hostages. He said any independence referendums wouldn't be recognized by the world.