Guardian

A trial is under way to find out if a £100 blood test could transform the way that the NHS diagnoses Alzheimer’s disease. Alzheimer’s is the leading cause of dementia and diagnosis is currently costly and time-consuming. To find out how this blood test could benefit patients, Ian Sample talks to Prof Jonathan Schott, who is co-leading the trial. He explains what the test involves and why it could pave the way for exciting new treatments for the devastating disease. Help support our independent journalism at theguardian.com/sciencepod

Pippa Crerar and Kiran Stacey discuss the UK’s recognition of Palestine as a state. With the US and Israel criticising the move, what will it mean for the war in Gaza, and for diplomacy? Plus, what do we know about the split at the top of Jeremy Corbyn and Zarah Sultana’s new leftwing party? And Pippa has the latest from the Liberal Democrat conference in Bournemouth ---- Send your thoughts and questions to [email protected]. Help support our independent journalism at theguardian.com/politicspod

Max Rushden is joined by Barry Glendenning, John Brewin and Dan Bardell as Arsenal rescue a late point against Manchester City and a win in the Merseyside derby means Liverpool maintain their 100% start to the season. Help support our independent journalism at theguardian.com/footballweeklypod

Max Rushden is joined by Barry Glendenning, Jonathan Liew and Archie Rhind-Tutt as Liverpool score yet another late winner and Chelsea show their inexperience away at Bayern Munich. Help support our independent journalism at theguardian.com/footballweeklypod

The murder of political activist Charlie Kirk has prompted fears about rising levels of political violence in the US after a number of high-profile assassinations and attempted assassinations of political figures in recent years. But how connected are these events and do they signal a rise in public support for this kind of violence? To find out Ian Sample speaks to Sean Westwood, an associate professor in political science at Dartmouth College and director of the Polarization Research Lab. He explains how political violence has evolved and why overestimating the support for such acts can be dangerous. Help support our independent journalism at theguardian.com/sciencepod

Donald Trump is back on UK soil for his ‘unprecedented’ second state visit. Will the US president’s trip help to distract from Keir Starmer’s challenges at home? Or could it leave the prime minister even more exposed? Kiran Stacey asks the columnist and Politics Weekly America host, Jonathan Freedland Send your thoughts and questions to [email protected]. Help support our independent journalism at theguardian.com/politicspod

Max Rushden is joined by Barry Glendenning, Nicky Bandini and Philippe Auclair as Arsenal win in Bilbao and Spurs host Villarreal to start this season’s Champions League. Help support our independent journalism at theguardian.com/footballweeklypod

At a recent ceremony for world leaders in Beijing, a hot mic picked up a surprising exchange between Vladimir Putin and Xi Jinping about the possibility of living to 150. Putin suggested the secret might lie in repeated organ transplants. But is this the new frontier of anti-ageing research or a fringe and unproven theory? To find out, science editor Ian Sample speaks to Russian affairs reporter Pjotr Sauer and to John S Tregoning, professor of vaccine immunology at Imperial College London and author of Live Forever: A Curious Scientist’s Guide to Wellness, Ageing and Death. Help support our independent journalism at theguardian.com/sciencepod

Pippa Crerar and Kiran Stacey discuss the fallout from Keir Starmer’s handling of the sacking of the US ambassador, Peter Mandelson. And with growing questions about whether the prime minister can survive, they ask whether Donald Trump’s state visit to the UK might actually be a welcome distraction for the government -- Send your thoughts and questions to [email protected]. Help support our independent journalism at theguardian.com/politicspod

Max Rushden is joined by Barry Glendenning, Lars Sivertsen and Jonathan Wilson as Premier League football returns after the international break. Help support our independent journalism at theguardian.com/footballweeklypod