The World This Week

• Trump vs BBC, Netanyahu pardon demand and Sarkozy’s prison stint

  This week, President Trump has threatened to sue the BBC for one billion dollars after it emerged its Panorama programme misleadingly edited his speech. The US President also sent a formal letter to Israeli President Isaac Herzog, asking for a pardon for his ally the prime minister Benjamin Netanyahu, who’s facing a long running trial for alleged bribery and fraud. And after three weeks in prison, Nicolas Sarkozy has been released ahead of an appeal trial to be held next year.

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• 'Turn the volume up': Mamdani’s glory & the Dems' dichotomy, Is Pokrovsk falling? Shein in France

  It’s been a week that’s seen a remarkable political upset in New York, where 34-year-old Zohran Mamdani became the city’s youngest mayor in 130 years – and its first Muslim and immigrant leader in generations. The Democratic Socialist's pledge to make New York more affordable galvanised young voters, though his call to tax the rich unsettled the party establishment. In Ukraine, fierce fighting continues for control of Pokrovsk, the fortress city key to Donetsk’s supply lines, as Russia claims to have encircled it and President Volodymyr Zelensky vows defiance on the front line. In Mexico, President Claudia Sheinbaum – after being groped by a man in public – has vowed to criminalise street harassment nationwide, calling it an attack on all women. And here in France, this week saw the controversial opening of Chinese e-commerce giant Shein's first ever physical shop – in a storied Parisian department store. Produced by Gavin Lee, Henri-Pierre Mafulu and Guillaume Gougeon

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• US-China superpower showdown, Who can help Sudan, Prince no more

  It’s been a week that saw Britain's king strip his brother Andrew – formerly Prince Andrew – of his last title and ask him to leave the Royal Lodge, just days after the release of Virginia Giuffre's posthumous memoir. It's also been a week where Donald Trump and Xi Jinping met – Trump calling their 100-minute summit "an outstanding meeting"– as Beijing agreed to pause its rare-earth export curbs in a diplomatic truce. But also a week of horror in Sudan with door-to-door killings of unarmed civilians as paramilitary forces captured El-Fasher following a 500-day siege. And a week of devastation in the Caribbean, where a Category 5 hurricane ripped across islands, with Jamaica's prime minister warning it could be the "storm of the century". Produced by Gavin Lee, Henri-Pierre Mafulu and Guillaume Gougeon.

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• Louvre heist, 'Yellow Line' in Gaza and the Ukraine war

  We assess the fallout of the Louvre heist in France. Also, Israel begins physically marking its areas of control in Gaza, deeper than its government agreed to as part of the Trump peace plan. Several Arab leaders argue that the new demarcation will see Gaza permanently divided into two zones. Finally, US President Donald Trump places sanctions on Russian oil companies. The meeting in Budapest with Russian leader Vladimir Putin is no longer on the cards, and as "talks go nowhere", European allies of Ukraine meet in London.

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• Governing Gaza, Ukraine, AI 'slop' and the dead internet theory

  It’s been a week of global upheaval and fragile progress – from a historic prisoner release and tentative ceasefire in Gaza, to the dramatic fall of Madagascar’s president amid a military rebellion. In the US, political tensions deepen as yet another Trump critic faces federal charges, raising fresh questions about the weaponisation of justice. In the UK, espionage concerns escalate as MI5 names China a "daily threat" after a collapsed spy trial sparked controversy at the highest levels. Plus, is the internet dominated by bots instead of humans? Produced by Gavin Lee, Siobhan Silke, Alessandro Xenos and Guillaume Gougeon

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