Here’s what you need to know:
“The world will see a major change”
• Those were the words of Kim Jong-un, the North Korean leader, at the end of talks with President Trump today in Singapore. “We had a historic meeting and decided to leave the past behind,” he added. Follow our live updates, watch video of the leaders’ first handshake, and read the full text of their joint statement.
The talks were remarkable partly because the two men had recently threatened each other with nuclear attack. Mr. Trump concluded the meeting by saying that denuclearization of the Korean Peninsula would begin “very quickly.”
The two leaders didn’t have hamburgers, as Mr. Trump had mused during his presidential campaign, but a meal that included Korean stuffed cucumber and a dark-chocolate tartlet ganache.
• Our reporters explain why Mr. Kim is an unusual adversary for Mr. Trump, why North Korea is among the world’s worst violators of human rights, and what the former basketball star Dennis Rodman was doing in Singapore.
Narrowing the path to asylum
• Attorney General Jeff Sessions has effectively closed the door to a large group of asylum seekers, ruling that domestic and gang violence were not grounds for being granted permanent entry to the U.S.
Mr. Sessions’s argument — that asylum shouldn’t apply to victims of “private violence” — will particularly affect migrants from Central America. It drew condemnation from immigrants’ rights groups, and Senator Richard Durbin, Democrat of Illinois, called it “monstrous.”
• Separately, a federal judge sharply criticized the Justice Department’s argument that President Trump’s financial interest in his company’s Washington hotel is constitutional.
Who gets to vote, or run, for office?
• The Supreme Court on Monday upheld Ohio’s aggressive efforts to purge its voting rolls.
The decision was a victory for Republicans, who argue that such restrictions help to fight voter fraud. But Democrats say that kicking people off the rolls suppresses voting by Democratic constituencies, particularly minorities.
• Two female Democrats are running in primaries for governor today, in Maine and Nevada. But, like many of their counterparts in other states, they face male opponents with deep coffers and establishment support.
A harsh spotlight on New York City
• Federal prosecutors have accused the city’s housing authority, known as Nycha, of systematic misconduct, indifference and outright lies, including presenting false reports about compliance with lead-paint regulations.
Mayor Bill de Blasio said that Nycha, which houses more than 400,000 poor and working-class residents, chose to settle rather than face trial. Either way, it’s a low moment for a public housing authority that was once seen as a rare national success.
• Experts also wonder if a plan to vastly improve efficiency and reliability on the New York City subway is overly optimistic.
The risks of laser eye surgery
• Roughly 9.5 million Americans have had Lasik surgery since the Food and Drug Administration approved the technique in the 1990s. Many ophthalmologists say the procedure is extremely safe.
But even as the procedure helps many shed glasses and contact lenses, studies point to a range of side effects, including dry eyes and visual aberrations.
• We have an in-depth report on Lasik’s risks.
“The Daily”: A historic handshake
• Was the greeting between President Trump and Kim Jong-un a beginning or an end?
• The repeal of net neutrality rules, which required internet service providers to offer equal access to all web content, took effect on Monday. Our tech columnist argues that the rules never stood a chance.
• Ivanka Trump and Jared Kushner invested in vehicles and trusts that bought and sold as much as $ 147 million of real estate and other assets during their first year at the White House, an ethics filing showed, raising questions of possible conflicts of interest.
• Native Americans have watched their salmon harvests fall precipitously over the past three decades. But some see hope in a court ruling that will require Washington State to spend billions to fix roads that had damaged salmon habitats.
Tips, both new and old, for a more fulfilling life.
• Simple tips for increasing your self-control.
• Making art can be a powerful way to deal with trauma.
• Recipe of the day: Paired with a bright salad, chicken Milanese is cooling and rich.
• Many sides to a story
Did you see the photograph of President Trump with Group of 7 leaders that was widely shared on social media?Different countries promoted very different perspectives of the same scene.
• A very big eye on the heavens
Hawaii’s Supreme Court will hear oral arguments next week on whether to approve a building permit for a giant telescope on the Mauna Kea volcano.
• Soccer, meet politics
The Egyptian star Mohamed Salah was photographed at a Russian stadium with the Chechen strongman Ramzan Kadyrov. Our sports reporter explains why such displays help Mr. Kadyrov, who’s known for ruthlessness and oppression, to project legitimacy.
• A taste maker, literally
We profiled Sarah Masoni, a flavor designer in Portland, Ore., who’s behind a flood of new foods.
“She’s an evil genius,” one of her clients said. “In a good way.”
• Best of late-night TV
Jimmy Kimmel weighed in on the compatibility of President Trump and Kim Jong-un.
• Quotation of the day
“I’ve never thought of closing the ports, not even when 26 ships arrived with 13,500 migrants within 36 hours.”
Marco Minniti, a former interior minister of Italy, after his country turned away a rescue boat carrying hundreds of people.
• The Times, in other words
• What we’re reading
Mike Isaac, our technology reporter, is on book leave. He recommends this piece in Vanity Fair: “Charlie Rose, testing the limits of his disgrace, has been floating the idea of returning to TV for a show based on the experiences of men taken down by the #MeToo movement. This article follows him as he tries to reclaim a derailed career.”
Kim Jong-un, the North Korean leader, traveled to Singapore to meet President Trump, but he may soon host a leader at home.
North Korean state media reported this month that President Bashar al-Assad of Syria could be the first head of state to visit Mr. Kim in Pyongyang.
The two states have a long history, as do the Assad and Kim families. During the Arab-Israeli War of 1973, North Korea sent pilots to back Syrian forces.
The North helped build a museum about that war in the Syrian capital, featuring an image of Kim Il-sung and Hafez al-Assad, grandfather and father to the current leaders, clasping hands. A mural of Hafez al-Assad surrounded by adoring crowds is similar to one of Kim Il-sung in Pyongyang.
North Korea helped Syria build a nuclear reactor, although Israel destroyed it in 2007.
This year, the U.N. said that Pyongyang had sent Syria materials that could be used to create chemical weapons, and there is speculation that North Korean soldiers are backing government forces in Syria’s long civil war.
The show of friendship has been derided by rights activists. “Repression doesn’t grow flowers,” one wrote.
Jennifer Jett wrote today’s Back Story.
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