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Iran's chief negotiator has cast fresh doubt on whether a second round of peace talks with the United States will go ahead in Pakistan. Mohammed Bagher Qalibaf said Tehran would not accept negotiations under the shadow of threats, and was prepared to show "new cards on the battlefield". The US vice president, JD Vance, is expected to lead the American delegation. Also: outrage after a social media image shows an Israeli soldier hitting a statue of Jesus with a sledgehammer in southern Lebanon. One of the most influential figures in the technology industry, Tim Cook, is stepping down as the chief executive of Apple. The American singer D4vd pleads not guilty to murdering a teenage girl whose remains were found in his car.

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Iceland is an island of great beauty and even greater strategic importance. Its position in the Greenland Iceland UK Gap, the gateway between the Arctic and Atlantic oceans, makes it crucial to Nato operations in the High North.

But Iceland is one of the few nations in the world with no military of its own. A country of approximately 400,000 people, its security relies on the umbrella of protection it derives from being a founding member of NATO, a bilateral agreement with the United States signed in 1951 and a highly skilled coast guard and police force. In a climate of fracturing political alliances, is entrusting national defence so heavily on the guarantees of allies a sustainable strategy? Sandra Kanthal travelled to Reykjavik to find out.

This episode of The Documentary comes to you from Assignment, investigations and journeys into the heart of global events.

Sir Keir Starmer tells MPs that officials deliberately withheld the news from him that Lord Mandelson had failed security vetting

We look ahead to tomorrow's appearance at a commons committee by the top foreign office mandarin who's been removed..

also: how do teachers feel about the new smartphone ban in english schools..

the New York bookseller who uncovered stolen rarities worth millions..

are US-Iran talks on..or off..

and the author of the Selfish Gene pays tribute to the author of the Naked Ape. Richard Dawkins remembers his friend, Desmond Morris.

Andrew Peach hears from businesses reclaiming 'Liberation Day' tariffs in what promises to be the biggest repayment programme in history.

Elsewhere, electric car sales have increased by 50% - in part due to the rise in fuel prices.

And, we find out why nostalgia is still what it used to be in the world of advertising.

Confusion surrounds the second round of talks scheduled in Pakistan between US and Iranian officials. Also in the programme: the immunotherapy that could save cancer patients; and comparisons between the King of Horror, Stephen King and Shakespeare.

Photograph: Pakistani security officers outside Islamabad's Red Zone, where most diplomatic missions are based. Credit: Shutterstock

“I shall largely speak of mice,” the paper begins “but my thoughts are on man.”

So begins a truly extraordinary scientific paper, and an equally extraordinary story.

“Death Squared: The Explosive Growth and Demise of a Mouse Population.” was published in 1973 by John Calhoun, and it detailed his increasingly bizarre research into the psychological effects of overcrowding. Over two decades he built a series of ‘rodent utopias’, where he could keep a population of rats or mice, meet all their basic food and shelter needs, but mess around with population levels. He wanted to see how they responded to having to live, cheek-by-tiny-jowl, with far more other rats than they were used to. And it wasn’t pretty. Social orders melted into chaos, rodents fought indiscriminately, or shut themselves away at the top of the enclosure. Mating orders collapsed, population numbers tanked, and eventually, every single rat was dead.

His work came at a prescient time. In the 60s and 70s, the exponentially expanding human population was a hot-button topic, and ‘population panic’ was in full swing. Alongside the expansion of cities, creeping urban sprawl, rising city-centre crime rates and 'urban sinks', there grew a concern that human living conditions were about to take an interminable dive. How would we live, with so many of us on earth? Calhoun’s work was leapt on by the press and public as a dire prediction of our own coming collapse. His rodent utopias became a subject of great interest among architects and city planners, psychologists and sociologists, and anyone fascinated by the human condition. But has his work been misunderstood?

50 years on, what lessons can we take from the work of a ground-breaking but often misunderstood scientist, in the face of a human population now exceeding 8 billion. Emily Knight explores his extraordinary work, its implications for humanity, and the possibility of a human utopia, that might not look anything like you expect.

Presented and Produced by Emily Knight in Cardiff

Adam thinks about the future, and Helen has a decision to make.

The BBC's Lyse Doucet has been speaking to the senior Iranian lawmaker Ebrahim Azizi, the Chairman of Iran's Parliament's National Security and Foreign Policy Committee. He calls America "the world's biggest pirate".

Also in the programme: A BBC investigation finds that British soldiers stationed in Kenya fathered children with local women and in some cases, abandoned them. And a robot wins the Beijing half marathon - is this technological progress or a dystopian nightmare?

(Photo: Iranians walk past an anti-USA and anti-Israel mural on a street in Tehran, Iran, 20 April 2026. Conflict between Iran and the US over the Strait of Hormuz continues as Iran again closed the Strait. Credit: Photo by Abedin Taherkenareh/EPA/Shutterstock)

BBC Africa Eye follows Kenyans at the centre of a groundbreaking legal battle to track down their British soldier fathers using novel DNA methods. Nanyuki, Kenya, is home to one of Britain’s largest overseas military training areas, where thousands of British troops train each year. Over the years, nearly 100 children have been fathered by British soldiers here. Many of their dads disappeared, without a trace. Now, in a landmark case, UK-based scientists and lawyers are helping them find answers.

And how the work of one conservationist to protect endangered bat species in Nigeria has been awarded the 2026 Goldman Environmental Prize.

Presenter : Nkechi Ogbonna

Producers: Bella Twine, Ayuba Iliya and Blessing Aderogba

Technical Producer: Davis Mwasaru

Senior Producer: Charles Gitonga

Editors: Priya Sippy and Maryam Abdalla

Global financial markets have headed south again after tensions between the US and Iran took a turn for the worse over the weekend. American forces attacked and then seized an Iranian cargo ship just east of the Strait of Hormuz, and Iran has responded by saying it will retaliate.

Plus, the BBC’s Nick Marsh has been looking at a story that’s been quietly building in financial markets. Traders placing big bets just before major announcements by US president Donald Trump, including during the Iran war. BBC analysis suggests it may be happening more often than we thought.