Charles is now King of Australia – but that doesn’t mean any legal or constitutional change
Anne Twomey
There will be a national memorial service for the Queen, flags will fly at half-mast and parliament will break for 15 days as a sign of respect. No laws will change
Should domestic cats be eradicated? | Gareth Morgan and Tom Cox
Interview by Emine Saner
Campaigner Gareth Morgan claims domestic cats in New Zealand are a menace to wildlife, and should be more strictly controlled. Cat lover Tom Cox fights his feline friends' corner
As the new Manet exhbition opens in London to huge crowds, artist Bob & Roberta Smith and curator Iwona Blazwick discuss if this is the best way to consume art
The conversation: The modern family structure is in flux. Psychotherapist Philippa Perry discusses parenting, marriage and masturbation with Christian broadcaster Anne Atkins
Cyclists have been enjoying the limelight, but do they get the right of way too often? Pedestrian campaigner Caroline Russell talks to bike blogger Danny Williams
New year's resolutions: can you really change your life?
Interview by Joanna Moorhead
The conversation: Millions of resolutions will be made – and quickly broken – next week. Agony aunt Irma Kurtz and philosopher Jules Evans debate the art of self-improvement
The conversation: As the big day approaches, our own Polly Toynbee, an atheist, goes head to head with vicar Giles Fraser to discuss theology, heresy, Jesus and shopping
The conversation: The government has ringfenced overseas aid, but is that the right thing to do? Former development secretary Clare Short debates the issue with economist Ha-Joon Chang
Public attention to tax avoidance is at an all-time high. UK Uncut's Ellie Mae O'Hagan discusses the system's flaws with financial journalist Allister Heath
The conversation: A third of us now find relationships online, it was claimed this week, and it's set to grow. Veteran daters Jill Filipovic and Patrick Strudwick share their experiences
Does prisoner mentoring really help with rehabilitation?
Interview by Emine Saner
Does pairing recently released offenders with mentors help their transition back into the community? Former prisoner Jamie Cullen and mentor Zeddy Chaudhry think so
Should Rihanna be duetting with Chris Brown? | Bim Adewunmi and Kieran Yates
Interview by Homa Khaleeli
Rihanna's new album, featuring a duet with Chris Brown, who assaulted her in 2009, has caused uproar. Fans Kieran Yates and Bim Adewunmi wonder why she's done it
Are the police and crime commissioner elections too political?
Interview by Susanna Rustin
Elections for police commissioners will be held next week. Are they a good idea? Former MP Vera Baird is standing, but Falklands veteran Simon Weston pulled out
How do Americans in the UK feel about the US elections?
Interview by Emine Saner
As US election day approaches, millions of Americans are following the contest from abroad. Comedian Rich Fulcher and academic Sarah Churchwell swap stories
Ex-cons Conrad Black and Jonathan Aitken both know what it's like to fall from the pinnacle of the British establishment. Here they swap stories about life behind bars
Who is most responsible for the widespread public disenchantment with politics – the media or politicians? Labour's Rachel Reeves and the BBC's Nick Robinson thrash it out
