What really happened in the room with Burnham and Trump

Andy Burnham has started an almighty row by claiming that Russia interfered in the 2016 Brexit referendum. He also says he wants the UK to have closer ties to the EU. The row is one of three major headaches for the prime minister ahead of his crucial budget at the end of October, with migration and Donald Trump’s erratic response to Ukraine and Russia being the other two. Help support our independent journalism at theguardian.com/politicspod

Are we really living through ‘end times fascism’? Naomi Klein and Astra Taylor think so. In a new series from the Guardian, the pair speak to Radical Thinking with Aditya Chakrabortty in an extended interview. From Trump 2.0 and the rise of the tech billionaire to Gaza and the climate emergency, Klein and Taylor argue we are not just lurching from crisis to crisis but are in a new and dangerous moment in history. But they haven’t given up hope of a fightback Radical Thinking will be published every Saturday in the Politics Weekly feed. Help support our independent journalism at theguardian.com/politicspod

Zack Polanski has lost the Holborn and St Pancras byelection to Labour’s Sagal Abdi-Wali. Despite the Greens increasing their vote share from 2024, Polanski had the cloud of the ‘Zionism is racism’ row hanging over his head. Now there are questions over his leadership and whether he can steer the party through the ongoing Zionism row. Will the Greens remain a fringe party?. Help support our independent journalism at theguardian.com/politicspod

Kemi Badenoch has promised to ditch inheritance tax on family homes if elected as prime minister, leading to criticism that she is prioritising the rich over the poor. Plus, the pollster and UK director of More in Common, Luke Tryl, joins Pippa and Kiran to give an overview of how all the parties are doing. Help support our independent journalism at theguardian.com/politicspod

Kemi Badenoch is kicking off Conservative party conference with a little bounce in her step and her personal poll ratings improved. But critics will say that as she embraces the nasty party accusations she is at risk of alienating some core Tory voters. Can she bring her party back to being the main opposition to the government?. Help support our independent journalism at theguardian.com/politicspod

Who is really in charge – the people or the markets? In the first episode of Radical Thinking, a new series from the Guardian, senior economics commentator Aditya Chakrabortty speaks to the former Greek finance minister Yanis Varoufakis. What was it like during the eurozone crisis when Varoufakis went head to head with those who wanted to stop his reforms?. Help support our independent journalism at theguardian.com/politicspod

Andy Burnham has delivered a powerful and emotional speech to the Labour conference. He announced policies on pensions, social care and electoral reform. He said he was willing to talk about the things politicians usually avoided. But without a big budget, can he deliver his big dreams for the country?. Help support our independent journalism at theguardian.com/politicspod

Speaking to Pippa Crerar and Kiran Stacey at the Labour party conference in Liverpool, Miatta Fahnbulleh, the energy secretary, said a mark of her success or failure would be whether she could get bills down and said she would do so. She also challenged Reform UK and the Tories on their climate inaction, saying they would eventually ‘bow’ because they were on the ‘wrong side of history’. Help support our independent journalism at theguardian.com/politicspod

Andy Burnham will make his first speech at Labour conference as prime minister on Tuesday. Ahead of that, he has been talking to Pippa Crerar about why he is in the job and what changes he wants to make. Pippa and Kiran Stacey discuss his comments and the feeling behind the scenes at this year’s conference. Help support our independent journalism at theguardian.com/politicspod

Pippa Crerar had a front row seat for the PM’s first meeting with Donald Trump. What really happened during that 12-minute press conference? And as the Labour conference kicks off this weekend, she and Kiran Stacey discuss the ethics of journalist-politician karaoke. Help support our independent journalism at theguardian.com/politicspod