Core blimey: what’s up at Apple?

We examine the path of Ayatollah Ali Khamenei, once a bookish cleric underrated by everyone—including himself. He has hung on to power perhaps in part by not making decisions at crucial points. Our finance correspondent looks at the shifting wisdom on how best to manage an inheritance. And why India’s addresses are so long, complex and ultimately costly.Get a world of insights by subscribing to Economist Podcasts+. For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

Iran’s strikes both before and apparently after a ceasefire began seem to threaten peace. If it holds, what will that mean for Iran’s ambitions, and for the wider region? A meeting of NATO-country leaders seems precision-engineered to appease the alliance’s most fickle member. And why Germany is considering cancelling one of its many public holidays.Additional audio courtesy of Chatham House's “Independent Thinking” podcast.Get a world of insights by subscribing to Economist Podcasts+. For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

Political assassinations. Troops on city streets. National protests. We examine the edgy mood inside America through the lens of past periods of intense, violent partisanship. Our correspondent sees two motives for the visit to Greenland by Emmanuel Macron, France’s president: one aimed at Donald Trump and another at Europe’s self-conception. And what AI learned from scans of the Dead Sea Scrolls. Get a world of insights by subscribing to Economist Podcasts+. For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

A sudden war made Iran’s leaders look unprepared. And many Iranians loathe the regime. But there are no signs yet that internal dissent will shape the conflict. Shortly after Nayib Bukele became El Salvador’s president, he was labelled as the world’s first millennial dictator; now he is going after his critics. And remembering Valmik Thapar, tireless campaigner for India’s tigers.Get a world of insights by subscribing to Economist Podcasts+. For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

After Israel launches an all-out assault on Iran without clear US backing, our correspondent explains how the conflict could escalate. The Trump administration has reduced America’s readiness for hurricane season. And what FIFA’s expanded Club World Cup will mean for football.Listen to what matters most, from global politics and business to science and technology—Subscribe to Economist Podcasts+For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account. 

The all-famous Murdoch clan is engaged in a fierce battle over control of the family’s media companies. Our correspondent explains why turmoil at the top has not deterred investors. After decades of fruitless research into Alzheimer’s, there are finally some new drugs in the pipeline. And pop songs are getting shorter.  Listen to what matters most, from global politics and business to science and technology—Subscribe to Economist Podcasts+For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account. 

It brought us the iPhone–and changed the world. Now Apple is struggling to keep up with rapid advances in AI. Our correspondent assesses its future. China used to rely on Russian patronage. That power relationship has now largely been reversed (9:41). And remembering Amanda Feilding, who pioneered research on psychedelics (16:14).Listen to what matters most, from global politics and business to science and technology—Subscribe to Economist Podcasts+For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

Our correspondent reports from LA, where Donald Trump’s decision to send in troops risks inciting further antagonism. The argument is now about far more than immigration. A visual investigation confirms that Myanmar’s junta is still bombing civilian settlements after the deadly earthquake, despite agreeing to a humanitarian ceasefire (9:25). And should kids play contact sports (14:32)?     Listen to what matters most, from global politics and business to science and technology—Subscribe to Economist Podcasts+For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

What happens when the world’s most powerful man falls out with its richest? Our correspondent analyses where the Trump-Musk brawl leaves the relationship between MAGA and tech. How Israel’s far-right is influencing the war in Gaza (10:13). And why rhyme is on the decline (and verse is getting worse) (21:01). Listen to what matters most, from global politics and business to science and technology—Subscribe to Economist Podcasts+For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

As the number of Russian dead and injured in Ukraine reaches a grim milestone, what do these losses signify about Vladimir Putin’s strategy? Though misinformation is growing, the armies of fact-checkers are shrinking, forcing them to assess which lies may do the most harm (7:42). And why cheese rolling could become a protected item of British heritage (14:38). Listen to what matters most, from global politics and business to science and technology—Subscribe to Economist Podcasts+For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.