In the wake of last year’s Black Lives Matter protests, a central question of the New York City mayoral contest has become: Is New York safer with more or fewer police officers?

Today, we see this tension play out in a single household, between Yumi Mannarelli and her mother, Misako Shimada.

Guests: Misako Shimada and Yumi Mannarelli, a mother and daughter who live in New York City.

Policing and the New York Mayoral Race

This is what the news should sound like. The biggest stories of our time, told by the best journalists in the world. Hosted by Michael Barbaro and Sabrina Tavernise. Twenty minutes a day, five days a week, ready by 6 a.m.

Listen to this podcast in New York Times Audio, our new iOS app for news subscribers. Download now at nytimes.com/audioapp

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Daily News

Political and legal history are being made in a Lower Manhattan courtroom as Donald J. Trump becomes the first former U.S. president to undergo a criminal trial.

Jonah Bromwich, who covers criminal justice in New York, explains what happened during the opening days of the trial, which is tied to Mr. Trump’s role in a hush-money payment to a porn star.

Guest: Jonah E. Bromwich, who covers criminal justice in New York for The New York Times.

The Opening Days of Trump’s First Criminal Trial

The Environmental Protection Agency has begun for the first time to regulate a class of synthetic chemicals known as “forever chemicals” in America’s drinking water.

Kim Tingley, a contributing writer for The New York Times Magazine, explains how these chemicals, which have been linked to liver disease and other serious health problems, came to be in the water supply — and in many more places.

Guest: Kim Tingley, a contributing writer for The New York Times Magazine.

Are ‘Forever Chemicals’ a Forever Problem?

A Times investigation shows how the country’s biggest technology companies, as they raced to build powerful new artificial intelligence systems, bent and broke the rules from the start.

Cade Metz, a technology reporter for The Times, explains what he uncovered.

Guest: Cade Metz, a technology reporter for The New York Times.

A.I.’s Original Sin

Overnight on Saturday, Iran launched its first direct attack on Israeli soil, shooting hundreds of missiles and drones at multiple targets.

Eric Schmitt, a national security correspondent for The Times, explains what happened and considers whether a broader war is brewing in the Middle East.

Guest: Eric Schmitt, a national security correspondent for The New York Times.

Iran’s Unprecedented Attack on Israel

At the center of the criminal case against former President Donald Trump in Manhattan is the accusation that Trump took part in a scheme to turn The National Enquirer and its sister publications into an arm of his 2016 presidential campaign. The documents detailed three “hush money” payments made to a series of individuals to guarantee their silence about potentially damaging stories in the months before the election. Because this was done with the goal of helping his election chances, the case implied, these payments amounted to a form of illegal, undisclosed campaign spending. And because Trump created paperwork to make the payments seem like regular legal expenses, that amounted to a criminal effort at a coverup, argued Alvin Bragg, the district attorney of Manhattan. Trump has denied the charges against him.

For Lachlan Cartwright, reading the indictment was like stepping through the looking glass, because it described a three-year period in his own professional life, one that he has come to deeply regret. Now, as a former president faces a criminal trial for the first time in American history, Cartwright is forced to grapple with what really happened at The Enquirer in those years — and whether and how he can ever set things right.

Policing and the New York Mayoral Race

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