Trump Administration Live Updates: Trump Says China Will Ease Limits on Rare Earths

Trump Threatens to Resume Nuclear Weapons Testing, Minutes Before Xi Meeting

Just minutes before he was scheduled to meet President Xi Jinping of China, the president threatened on social media to resume nuclear testing “on an equal basis” with other countries.

Nvidia Is Now Worth $5 Trillion as It Consolidates Power in A.I. Boom

The A.I. chip maker has become a linchpin in the Trump administration’s trade negotiations in Asia.

Dutch Voters Deliver Major Setback to Far-Right Party of Geert Wilders

A center-left party was poised to become the country’s largest political party, according to exit polls. The anti-immigrant Party for Freedom, led by Mr. Wilders, was expected to lose 12 seats.

Syria’s Rocky Transition Brings New Waves of Displacement

More than 400,000 Syrians have been displaced in the year since the civil war ended, according to the United Nations, driven by a mix of sectarian violence, acts of revenge and property disputes.

Inside the Heist That Shocked the World

More than a week after thieves made off with treasures from the Louvre, a picture is emerging of a seemingly well-planned burglary that exploited security lapses at the museum and outpaced the police.

She Said She Was Rescuing Chickens. A Jury Convicted Her of Conspiracy.

Zoe Rosenberg, a California animal rights activist, was found guilty of conspiracy and trespassing for taking four chickens from a poultry plant.

Protesters of Immigration Crackdown, Including House Candidate, Indicted

Six people, including the congressional candidate Kat Abughazaleh, were indicted by a grand jury in Chicago. Ten others were arrested on charges stemming from California protests.

Their Professors Caught Them Cheating. They Used A.I. to Apologize.

Two professors at the University of Illinois Urbana-Champaign said they grew suspicious after receiving identical apologies from dozens of students they had accused of academic dishonesty.

What Can Break the Shutdown Impasse?

Significant milestones over the next few weeks could shuffle the status quo. For now, both sides remain dug in as the closure heads into a fifth week.

In Mississippi, Democrats Hope New Maps Lead to Statehouse Wins

A federal court says Republican legislators diluted Black voter strength. New maps may help Democrats break the G.O.P. supermajority in Jackson on Nov. 4.

Karine Jean-Pierre and a Book Tour Most Authors Would Not Dream Of

The Biden White House press secretary seems to be everywhere promoting her memoir, including an “absolute train wreck’’ of an interview with The New Yorker.

Starbucks Reports a Modest Sales Increase in Latest Quarter

Net income fell 85 percent, however, because of charges related to store closures and corporate layoffs.

Microsoft Increases Investments Amid A.I. Race

The company reported higher-than-expected capital expenditures of $34.9 billion in its latest quarter.

G.M. Will Cut 1,750 Jobs in Electric Vehicle Business

The layoffs at factories in Michigan, Ohio and Tennessee follow the elimination of a $7,500 federal tax credit for electric cars.

To Avert Crisis, Talladega College Sells Its Art Treasures

An H.B.C.U.’s remarkable Hale Woodruff murals commemorating Black history have been bought by an art museum and two foundations. But the college says it is not completely letting go.

‘Practical Magic,’ Eternally Enchanting and Confounding

The bewitching duo of Nicole Kidman and Sandra Bullock turned this 1998 supernatural dramedy with a baffling story line into a Halloween classic.

‘Nobody Wants This’ Is Back. So Is Jewish Debate Over Its Depictions.

Season 1 of the hit Netflix rom-com caught heat for its portrayal of Judaism, Jewish women in particular. With Season 2 now out, viewers are watching closely.

Bloomberg Gives $1.5 Million to Pro-Cuomo Super PAC

Michael R. Bloomberg, the former New York City mayor, had stayed out of the race since backing former Gov. Andrew M. Cuomo’s failed Democratic primary campaign.

Cuomo Says Mamdani Could ‘Kill’ New York and Democratic Party if Elected

In an interview with the sports host Stephen A. Smith, former Gov. Andrew M. Cuomo offered a dark prophecy for a Mamdani mayoralty.

Burglars in Disguise. Millions in Jewels Taken. But This Was in Queens.

Thieves dressed as construction workers stole $3.2 million in jewels and cash from a jewelry store owner’s family home, the police said.

A Layer Cake as Easy as 1-2-3-4

Melissa Clark tweaked the formula of this classic, 19th century vanilla layer cake to make it even lighter, more tender and a little less sweet.

New York City Loves a Little Treat. Here Are Our 46 Favorites.

Cake slices, sundaes, morning buns, noodles and shakes — all $20 or under — for your immediate consumption.