BBC

New Yorkers could redraw the US’s political faultlines today if the left-wing frontrunner for city mayor, Zohran Mamdani, defeats former state governor Andrew Cuomo. Donald Trump has already set his sights on Mamdani, threatening to withdraw federal funding form New York City if the 34-year-old democratic socialist wins the mayoralty. We hear from one of Mamdani’s informal advisers, Patrick Gaspard.  Also on the programme: the BBC exposes an organised crime network behind high street shops involved in fraud, tax evasion and illegal working; and Dick Cheney, one of the most powerful US Vice Presidents of all time, has died. We hear from a close aide who was with him on 9/11.

Alan offers salvation, and Alice is put on the spot.

Dick Cheney, who became one of the most powerful vice presidents in US history as George W Bush's number two during 9/11 and the wars in Afghanistan and Iraq, died Monday. He was 84. Also: Sudan's military government meets to discuss its response after its last stronghold in the Darfur region was seized by paramilitaries; New Yorkers vote for their next Mayor, and scientists in Kenya find evidence that the first humans used stone tools. The Global News Podcast brings you the breaking news you need to hear, as it happens. Listen for the latest headlines and current affairs from around the world. Politics, economics, climate, business, technology, health – we cover it all with expert analysis and insight. Get the news that matters, delivered twice a day on weekdays and daily at weekends, plus special bonus episodes reacting to urgent breaking stories. Follow or subscribe now and never miss a moment. Get in touch: globalpodcast@bbc.co.uk

Tesla's China-made electric vehicle sales of Model 3 and Model Y fell nearly 10% in October from a year earlier, reversing a 2.8% increase in September. Leanna Byrne hears from Mark Rainford, founder of Inside China Auto based in Shanghai. Nintendo said it aims to sell 19 million Switch 2 consoles within this financial year, up from its previous target of 15 million for the smash-hit gadget. Starbucks, the world’s biggest coffee chain, is selling the majority stake in its business in China as part of a $4bn deal to the private equity firm Boyu Capital. Presenter: Leanna Byrne Producer: Ahmed Adan Editor: Justin Bones

The former US Vice-President Dick Cheney has died. One of the most powerful men to hold that office, he was key to the allied invasion of Iraq, in 2003. We hear American and Iraqi views of his legacy. Also in the programme: videos start to emerge from Tanzania of bodies in the street after disputed elections; and Salman Rushdie tells us about his latest collection of fiction. (File photo: US President George W. Bush (L) and Vice President Dick Cheney celebrate at the conclusion of the 2004 Republican National Convention at Madison Square Garden in New York, September 2, 2004. Credit: Reuters/Kevin Lamarque/File Photo)

Tanzania's President Samia Suluhu Hassan has been sworn in after the deadly protests that followed her election victory. Can she use her second term to unite the country?   At least 40 people have died in multiple landslides that struck Kenya and Uganda's mountainous border region in the Great Rift Valley.  What makes that belt susceptible to such calamitous events and are they happening more frequently?   And after two decades and an estimated cost of nearly $1bn, Egypt’s Grand Museum has opened its doors. One of the most anticipated exhibits is the tomb of Tutankhamun which is displayed in full for first time. But who was the young pharaoh, often referred to as the ‘boy king’? Presenter: Audrey Brown Producers: Sunita Nahar, Mark Wilberforce, and Stefania Okereke Technical Producer: Craig Kingham Senior Producer: Patricia Whitehorne Editors: Alice Muthengi and Andre Lombard

Nolan talks to UUP MLA Jon Burrows and former senior police officer Alan Mains

The government shutdown in the United States is set to become the longest in the country's history as Democrats and Republicans fail to agree on a new budget, leaving more than 40 million Americans who rely on food stamps facing great uncertainty. The White House says it will use emergency funds to provide reduced food aid. Also: the Israeli military's former top lawyer is arrested over the leak of a video allegedly showing Palestinian detainee abuse; dozens of people are killed after an earthquake in northern Afghanistan; the BBC visits India's Bihar state ahead of elections; what's causing an Antarctic glacier to rapidly retreat; Starbucks sells part of its operations in China; fast fashion giant Shein bans sex dolls on its online platform; the latest from Prince William's trip to Brazil; a conversation with Salman Rushdie; and Indonesians rail against "ugly" glass elevator on Bali cliff. The Global News Podcast brings you the breaking news you need to hear, as it happens. Listen for the latest headlines and current affairs from around the world. Politics, economics, climate, business, technology, health – we cover it all with expert analysis and insight. Get the news that matters, delivered twice a day on weekdays and daily at weekends, plus special bonus episodes reacting to urgent breaking stories. Follow or subscribe now and never miss a moment. Get in touch: globalpodcast@bbc.co.uk

Ranches, rodeos and public land. This is the story of a surprising battle raging in the American West, and the unlikely coalition it’s forged. Nearly half of all land in the West of the United States is owned by the federal government. Some people are trying to change that; they argue that part of it should be used for housing, amid a nationwide shortage. But this debate about land and development has touched a nerve in the Western psyche - tapping into bigger fears that the old way of life is under threat. It’s about identity, trust, and the growing popularity of cowboy culture, driven in part by the TV series Yellowstone. In an increasingly polarised United States, this debate about public land is uniting cowboys, environmental activists, conservatives, and progressives. Ellie House reports from Montana, a state where the prospect of a public land sell-off is deeply unpopular, and where people feel like their cultures and traditions are at stake. This episode of The Documentary comes to you from Assignment, investigations and journeys into the heart of global events.

The Tanzanian president Samia Suluhu Hassan has been sworn in despite protests over a disputed election, and reports that hundreds of people have been killed in a crackdown by the security forces. We hear from a former MP and diplomat who has been in the country for weeks on holiday. Also on the programme: the author Salman Rushdie speaks to us ahead of the publication of his first work of fiction since being stabbed three years ago. And, could a change in credit-rating to include rental payments help young people get on the housing ladder?

The US government’s been shut down for more than a month now, and if it carries on past this Wednesday it will become the longest shutdown in US history. A group of 500 leading travel-related businesses have signed a letter asking Congress to end the month-long impasse, citing worries about the holiday travel season. Meanwhile, Lithuania's truckers’ association says some 2,000 vehicles are stranded in Belarus after the border was closed in response to last week's airspace disruption, when dozens of balloons loaded with illegal cigarettes in Belarus forced the temporary closure of Lithuania's two main airports. The EU denounced the incidents as a hybrid attack. And India is celebrating victory in the women’s cricket World Cup. The team has made history not just on the pitch but financially too. You can contact us on WhatsApp or send us a voicenote: +44 330 678 3033.

Interviews, news and analysis of the day’s global events.

Chemical reactions are the backbone of modern society: the energy we use, the medicines we take, our housing materials, even the foods we eat, are created by reacting different substances together. If we zoom in, it’s the atoms within these substances that rearrange themselves to give rise to new substances with the properties we need. However, chemical reactions are far from perfect. They're often inefficient and their waste products can be harmful to the environment. Getting to grips with what goes on at the scale of individual atoms has long been a sticking point. Dame Pratibha Gai has spent much of her career pioneering novel microscopes to bring this seemingly inaccessible atomic world into sharp focus. Now Emeritus Professor of Chemistry at York University, her microscope, known as the environmental transmission electron microscope, is housed in labs around the world. It allows scientists, like herself, to observe chemical reactions in real-time, in exquisite atomic detail, and tinker with them to create products that are not only better for all of us, but also the environment. Presented by Jim Al-Khalili Produced by Beth Eastwood Revised for World Service by Minnie Harrop

Susan makes a decision she may regret, and Henry has a controversial suggestion.

Tanzania’s President, Samia Suluhu Hassan, begins her second term in office following hundreds of reported deaths in violence linked to a contested election. Also, as the tentative ceasefire in Gaza continues, plans are being made to rebuild the devastated territory. Valencia's provincial leader resigns after criticism over his response to devastating floods last year. Three people will stand trial in Hong Kong accused of organising events to commemorate the anniversary of the Tiananmen killings. And the actor Anthony Hopkins reflects on a life of highs and lows at age eighty-seven. He said it had been a laugh. The Global News Podcast brings you the breaking news you need to hear, as it happens. Listen for the latest headlines and current affairs from around the world. Politics, economics, climate, business, technology, health – we cover it all with expert analysis and insight. Get the news that matters, delivered twice a day on weekdays and daily at weekends, plus special bonus episodes reacting to urgent breaking stories. Follow or subscribe now and never miss a moment. Get in touch: globalpodcast@bbc.co.uk