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Google Is a Monopolist in Online Advertising Tech, Judge Says

The ruling was the second time in a year that a federal court had found that Google had acted illegally to maintain its dominance.

© Pete Marovich for The New York Times

The federal courthouse in Alexandria, Va., where the Google antitrust trial has been held.
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What Is Happening With Fyre Festival 2?

The organizers of Fyre Festival 2, a sequel to the ill-fated music event in 2017, said the festival would not longer take place in Playa del Carmen.

© Scott McIntyre for The New York Times

Some of the remnants of the ill-fated Fyre Festival that took place in 2017. A sequel to the event was announced in February.
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IMF Warns Trump Tariffs Will Weaken Economy and Increase Inflation

Kristalina Georgieva, the managing director of the International Monetary Fund, warned in a speech that protectionism erodes productivity.

© Maggie Shannon for The New York Times

A growing chorus of top economic officials have sounded alarms this week about the potential harm that President Trump’s trade policies could cause.
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The Ukrainian Schoolmaster Teaching History to His Invaders

Vitalii Dribnytsia engages with Russians online to correct Kremlin propaganda about Ukraine. Over time, he has come to realize his more important audience is Ukrainians themselves.

© Brendan Hoffman for The New York Times

Vitalii Dribnytsia, a former history teacher, speaks with someone in Russia via Chatroulette, where he often challenges Russians on their understanding of history.
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European Central Bank Cuts Rates Amid Tariff Uncertainty

Policymakers lowered rates a quarter point and said that the region’s growth outlook had “deteriorated” because of rising trade tensions.

© Jana Rodenbusch/Reuters

The European Central Bank’s headquarters in Frankfurt. The bank lowered its key rate a quarter point to 2.25 percent.
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Trump Targets K-12

We explain why the president is taking on public schools, and how officials are responding.

© Philip Cheung for The New York Times

At Carpenter Community Charter School in Studio City, Calif.
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Nvidia C.E.O. Meets With Chinese Trade Officials in Beijing

The day before the visit by Jensen Huang, lawmakers in Washington said they were investigating whether the chipmaker’s sales in China violated U.S. rules.

© Mike Kai Chen for The New York Times

Jensen Huang, chief executive of Nvidia, in San Jose, Calif., last month. This week, the House Select Committee on the Chinese Communist Party opened an investigation into Nvidia’s sale of chips across Asia.
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U.K. Court Ruling on Trans Women Is Part of Wider Debate on Sex and Gender

President Trump and right-wing politicians in Europe have railed against trans rights. Britain’s top court has now added its voice to the discussion.

© Henry Nicholls/Agence France-Presse — Getty Images

Susan Smith and Marion Calder, the directors of For Women Scotland, which brought the legal case that Britain’s Supreme Court weighed in on, celebrating outside the court in London on Wednesday.
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Daily Pill May Work as Well as Ozempic for Weight Loss and Blood Sugar

Clinical results of a GLP-1 in pill form showed safety and efficacy data similar to blockbuster injectable drugs.

© Frederick Florin/Agence France-Presse — Getty Images

Insulin pen production at an Eli Lilly factory in France. The new drug — a pill that can be taken at any time of day, with or without food — is almost unheard-of in the world of peptide drugs.
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Europe Seeks a Direct Line to Trump, Skeptical That Aides Speak for Him

Despite Europe’s size, economic might and longstanding alliances with Washington, Trump officials have made clear it is not a priority, European officials say.

© Eric Lee/The New York Times

In President Trump’s White House, he is the ultimate decision maker, and is far from a predictable one.
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Michigan’s Newest Senate Candidate Urges Tougher Stance on Trump

Dr. Abdul El-Sayed, a progressive former public health official, is joining the Democratic race to succeed Senator Gary Peters, who is retiring.

© Andrew Roth/ZUMA Press Wire, via Alamy Live News

Dr. Abdul El-Sayed at a protest against the Trump administration in Lansing, Mich., this month. He ran unsuccessfully for governor of Michigan in 2018.
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The Emergency Is Here

Trump is disappearing people to a Salvadoran prison for terrorists. And he says he wants to send “homegrown” Americans there next.

© Photograph by Haiyun Jiang for The New York Times

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Boasberg Finds Probable Cause to Hold Trump Officials in Contempt Over Deportation Flights

The move was a remarkable attempt by a jurist to hold the White House accountable for its apparent willingness to flout court orders.

© Drew Angerer/Agence France-Presse — Getty Images

Judge James E. Boasberg originally ordered Trump administration officials to stop planes with Venezuelan migrants flying to El Salvador last month. The planes were not stopped, and the migrants are now being held in a Salvadoran prison.
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Mother of Woman Killed by Immigrant Speaks at White House Briefing

The appearance by Patty Morin came as a federal judge threatened the Trump administration with a contempt-of-court investigation over its deportation flights to El Salvador.

© Doug Mills/The New York Times

Patty Morin joined a briefing at the White House on Wednesday and recounted the murder of her daughter, Rachel Morin, who was killed by an immigrant in 2023.
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L.A.U.S.D. Superintendent Alberto Carvalho Advocates for Undocumented Students

A visit by federal agents to two elementary schools drew an angry, impassioned response from the superintendent, Alberto Carvalho, a Portuguese immigrant.

© Sarah Reingewirtz/The Orange County Register, via Associated Press

Alberto Carvalho, the superintendent of Los Angeles’s public schools, in 2022. Mr. Carvalho said he himself was once undocumented.
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Iran Says Despite Shifting U.S. Messages, It Plans to Keep Participating in Nuclear Talks

But Iran’s foreign minister said Tehran planned to participate “calmly and coolly” in the negotiations. Both sides will meet in Rome on Saturday for a second round, Iran’s Foreign Ministry said.

© Vahid Salemi/Associated Press

Foreign Minister Abbas Araghchi has been Iran’s envoy in the talks with the United States. He and President Trump’s special envoy, Steve Witkoff, planned to hold a second round of talks on Saturday.
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Michelle Trachtenberg, ‘Buffy’ Actress, Died From Complications of Diabetes

The New York City medical examiner’s office determined the cause and manner of her death after reviewing toxicology test results, a spokeswoman said.

© Richard Shotwell/Invision, via Associated Press

Michelle Trachtenberg in 2014. A former child star, she found a new level of fame as a troubled teenager in the supernatural series “Buffy the Vampire Slayer” and, later, in “Gossip Girl.”
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