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Good evening. Here’s the latest at the end of Tuesday.

1. The police identified the victims in the Michigan State shooting but not the motive.

All three of the victims who were shot and killed on the East Lansing campus last night were students at the university, the authorities said. The shootings set off a three-hour police manhunt and forced students to hide in dormitories and classrooms until a tip led police to the gunman.

Officials identified the victims as Alexandria Verner, 20, a junior from Clawson, Mich.; Brian Fraser, 20, a sophomore from Grosse Pointe, Mich.; and Arielle Diamond Anderson, 19, of Harper Woods, Mich. Here’s what we know about them.

The gunman, whom the authorities identified as Anthony McRae, 43, died of a self-inflicted gunshot wound. He lived in nearby Lansing but had no apparent connection to the university, and he had been arrested once before for carrying a concealed firearm without a permit. The police in the town where he went to school said he had a history of mental illness.

The police in East Lansing are still searching for what motivated the gunman: “We have no idea why he came to campus,” the interim deputy chief of the university police said.

For a few students at Michigan State, the attack came with a chilling sense of familiarity: They had been nearby during the 2012 shooting at Sandy Hook Elementary School in Newtown, Conn., or survived the Oxford High School shooting in a town outside of Detroit in November 2021. By this morning, the university’s iconic rock had been painted with the question: “How many more?”

2. New data showed inflation cooling only slightly, signaling a long road back to normal.

Consumer prices climbed by 6.4 percent last month compared with a year earlier, a slight slowdown from the month prior but still an uncomfortably rapid pace. Perhaps more important, the forces pushing prices higher are proving stubborn in ways that have led many analysts to predict a difficult path back to policymakers’ preferred 2 percent rate.

A broad array of goods and services, including apparel, hotel rooms and rent, became more expensive compared with the previous month. Food prices, which have been weighing on seniors’ savings, health and social ties, also reversed a gradual decline.

3. Nikki Haley is running for president, becoming the first major G.O.P. challenger to Donald Trump.

Haley — the 51-year-old former South Carolina governor and U.N. ambassador who was also the first Indian American to hold a cabinet-level post — entered the race for the 2024 presidential election today by appealing to Republicans who want to move past the Trump era.

In other politics news, Senator Dianne Feinstein, Democrat of California, said that she would not seek re-election in 2024. Her retirement has long been expected by her colleagues, who have grown concerned about her memory issues.

Also, prosecutors investigating Trump’s handling of classified files want to pierce attorney-client privilege, suggesting evidence of a crime.

4. Rescuers in Turkey dug out nine survivors who spent more than a week under the rubble.

In the city of Kahramanmaras — where several buildings collapsed last week after a magnitude 7.8 earthquake shook the region, killing more than 40,000 people — rescue workers pried out two brothers who had been trapped for about 200 hours. The brothers said they had survived by rationing bodybuilding supplements, drinking their own urine and swallowing gulps of air.

At least seven more improbable rescues were made over the last two days. One, which was broadcast on live TV, was orchestrated through a 16-foot tunnel dug through fallen walls, floors and piping.

For more: Our architecture critic writes that we forget how fragile cities are until something like the earthquake in Turkey and Syria happens.

5. Ukraine said it urgently needed more ammunition.

NATO leaders, including the U.S. defense secretary, Lloyd Austin, vowed to work with allied nations to ramp up manufacturing and supply Ukraine’s military with as much firepower as possible ahead of a potential spring offensive.

The demands come as Ukrainian authorities step up their efforts to persuade the few thousand remaining civilians to leave the eastern city of Bakhmut in the face of a sustained Russian assault.

In other news from the war, a deliberate missile strike, not indiscriminate shelling, most likely killed an American paramedic, Pete Reed, in Ukraine, a Times visual investigation found.

6. Residents of eastern Ohio continue to face uncertainty after a train derailment.

The train, which was carrying toxic chemicals when it derailed on Feb. 3, ignited a fire that covered the town of East Palestine in smoke and led to the evacuation of thousands of people from their homes.

The E.P.A. said it had not detected contaminants at “levels of concern” in the area, and the regional water subsidiary said it had not detected any changes in the water supply. But experts said that a more comprehensive investigation will be needed to determine the disaster’s consequences on both human health and the environment.

Here are the latest updates on the incident.

7. Facing economic headwinds, misinformation is no longer as high a priority for tech giants.

False and misleading information continues to proliferate online. But some of the biggest social media companies have, in recent months, cut jobs on teams that were designed to combat misinformation.

Last month, YouTube quietly reduced its small team of policy experts, leaving just one person in charge of misinformation policy worldwide. Twitter, under its new owner, Elon Musk, has slashed much of its staff. And Meta, which owns Facebook, Instagram and WhatsApp, has shifted its focus to the metaverse.

In related news, glitches in Twitter’s service muffled the voices of leading Chinese dissidents during a crucial political moment.

8. Pharrell Williams will be Louis Vuitton’s next men’s designer.

The rapper and music producer will succeed Virgil Abloh, the barrier-breaking artistic director who died suddenly in 2021, taking over one of the most high-profile roles in all of men’s fashion. The appointment continues an apparent trend among luxury goods makers: to put their futures in the hands of multihyphenate celebrities.

But Williams, 49, is not new to fashion. He has worked off and on with Louis Vuitton since 2004, collaborated with the jeweler Tiffany & Company and created influential streetwear brands like Billionaire Boys Club. Williams’s first collection for Louis Vuitton will be shown in June at Men’s Fashion Week in Paris.

9. A theme park that upends expectations.

At Ghibli Park, Japan’s long-awaited tribute to the legendary animation of Studio Ghibli, there are no eye-grabbing attractions or stomach-churning rides. There’s not even a parking lot. Instead, the park’s understated presence is meant to coexist with the surrounding forest.

It’s a reflection of Studio Ghibli’s founder, Hayao Miyazaki, perhaps the world’s greatest living animator, and his artistic rigor: He insists on meticulously hand-drawing his own storyboards, and he refuses to make sequels.

For more, read about my colleague Sam Anderson’s experience at Ghibli Park.

10. And, finally, the ever-changing language of hearts.

For centuries, people have been using the distinctive curves-and-point symbol — birthed in the 14th century by an Italian physician — to show their love. But as technology has advanced, so, too, have the kinds of hearts we send.

In the 1990s, the simple <3 was popularized; more recently, people have turned to emojis (think: ❤️). Members of the youngest and most online generation more often use their hands and bodies to fashion heart symbols for Instagram and TikTok.

“If you want to know around how old someone is, but you don’t want to ask them directly, ask them to make a heart with their hands,” one social media influencer said.

Have a happy Valentine’s Day.

Elizabeth Bristow compiled photos for this briefing.

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