Summary
In his big speech Jeremy Corbyn urges a "kinder" type of politics
But on the last day the new leader faces criticism over his anti-nuclear stance
Labour leader says he would not use nuclear weapons if he was prime minister
Shadow defence secretary Maria Eagle calls his comments "not helpful"
Shadow foreign secretary Hilary Benn urges Mr Corbyn to abide by party policy
Conservatives accuse Mr Corbyn of planning to "lower Britain's defences"
Live Reporting
Alex Hunt, Pippa Simm and Aiden James
Sadiq Khan on likely Tory opponentpublished at 12:38 British Summer Time 30 September 2015
Support from McDonnellpublished at 12:37
12:37BBC 5Live
Shadow chancellor John McDonnell is supportive of Jeremy Corbyn's statement that he wouldn't use the UK's nuclear weapons.
Quote MessageI support that because it’s a moral issue, on which I don’t believe the use of nuclear weapons is morally or legally appropriate... We don't accept the argument about deterrents and don't believe Trident should be there. He’s extremely honest... He's just saying what he means and I agree with that."
Eagle: Nuclear comments 'undermine' debatepublished at 12:33
12:33Shadow defence secretary Maria Eagle says she is "surprised" at Jeremy Corbyn's answer to a question about whether he would use the UK's nuclear weapons if he were prime minister. She told the BBC's John Pienaar:
Quote MessageOur current policy is quite clear and it's in favour of us having an independent nuclear deterrent. I don't think he had to answer the question and I don't think he should have answered the question in the way that he did... I think it undermines to some degree our attempts to try and get a policy process going."
London housing policy deja vu?published at 12:27
12:27Esther Webber
BBC News, LondonLabour mayoral hopeful Sadiq Khan's promise to give Londoners "first dibs" on new housing has raised a few eyebrows, with the deputy director of the Adam Smith Institute accusing him of "xenophobia".
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End of twitter postIf the policy sounds a little familiar it might be because the pledge to "give Londoners priority in social housing queues" was part of UKIP's manifesto in the 2012 mayoral race.
Burnham: Get behind Corbynpublished at 12:23
12:23Andy Burnham urges Labour members to support the man who beat him to the leadership.
Quote MessageGet behind our new leader. Put the party first so we can put the country first."
Police and Crime Commissioners 'here to stay'published at 12:22
12:22The shadow home secretary indicates that Police and Crime Commissioners "are here to stay" - adding that Labour PCCs will fight police cuts.
EU freedom of movement questionedpublished at 12:19
12:19Andy Burnham says that, for too long, Labour has assumed that free movement of people within the EU "benefits everyone" but "it is just not true". Sometimes it only benefits private companies, he argues, adding that "rules have been exploited to undercut people's wages". Labour should not ignore communities where there is "pressure on primary schools" because of immigration. He says the forthcoming EU referendum is a chance "to take on the right and their scapegoating rhetoric that won't pay anybody's bills". Instead, everyone should get "the going rate" and the undercutting of workers should stop.
Burnham: UK should help refugeespublished at 12:17
12:17Andy Burnham says the UK should not turn its back on refugees in Europe.
Quote MessageBritain didn't do it 75 years ago and we shouldn't do it now."
'Ruthless opponents'published at 12:12
12:12Andy Burnham says Labour face "ruthless opponents" in the Conservatives. "There is no dog whistle these Bullingdon boys won't blow," he says. "And we've been letting them get away with it for far too long."
'Not bad for a runner-up'published at 12:10
12:10Andy Burnham addresses the conference, and thanks delegates for their "warm welcome", joking: "Not bad for a runner-up."
Jeremy Corbyn shifts the nuclear debatepublished at 12:05
12:05Ross Hawkins
Political correspondentJeremy Corbyn may just have ensured that there would be no nuclear deterrent if he were prime minister. It did not take a debate, within Labour or the House of Commons. A few words on the Today programme did the trick. Should he get to Number 10, he said simply, he would not press the nuclear button.
Burnham on immigrationpublished at 12:00
12:00Shadow home secretary Andy Burnham's comments on immigration this week echo views he expressed when campaigning against Jeremy Corbyn to be Labour leader. Inan interviewwith the BBC's Iain Watson in August, Mr Burnham said:
Quote MessageI don't want Labour people avoiding voters' eyes on the doorstep on this subject. I have seen people's wages undercut and agency staff brought in to do shifts. I have spoken out about someone I met on the doorstep in West Leigh who said he was the only person on his shift who spoke English. People talk about pressures on primary schools."
'Blindingly obvious'published at 11:55
11:55UKIP has reacted to comments on immigration by Labour's shadow home secretary. "The admission by Andy Burnham that mass low skilled immigration 'has made life harder for people in our poorest communities, where wages have been undercut and job security lost' is a welcome recognition of the blindingly obvious," the party says. Employment spokeswoman Jane Collins MEP added:
Quote MessageIt can hardly come as a surprise to Mr Burnham that uncontrolled immigration, which he and his party support, has led to wage compression particularly amongst the lower paid. If he really wants to help people then he'd be better off campaigning for Brexit where we could control immigration with an Australian style points system than telling scare stories about job losses should we regain our independence."
Refugee crisispublished at 11:45
11:45Debate moves to the refugee crisis in Europe. Simon Darvill from Young Labour praises Jeremy Corbyn for joining a demonstration calling for action on "this humanitarian crisis". After his election as Labour leader on 12 September, Mr Corbyn addressed a rally in central London in support of refugees.
Charlie's 'barnstormer'published at 11:39 British Summer Time 30 September 2015
11:39 BST 30 September 2015Labour peers tweet...
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End of twitter post'Stand by Human Rights Act'published at 11:38
11:38Lord Falconer says he is proud that a Labour government passed the Human Rights Act and pledges to oppose any Conservative attempts to repeal it.
Quote MessageWe stand by our Human Rights Act - no ifs, no buts."
Lord Falconer: Jeremy and I are alikepublished at 11:35
11:35Shadow justice secretary Lord Falconer, a former Tony Blair ally who has agreed to serve under Jeremy Corbyn, addresses conference. "Jeremy has been criticised for appointing me," he says, but jokes - referring to his recent dieting - that they are alike: "We're both thin men in our sixties from Islington." More seriously, he says he does have disagreements with his leader but both "share the view that politics must change".
In search of missing voterspublished at 11:29 British Summer Time 30 September 2015
11:29 BST 30 September 2015Shadow minister tweets...
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End of twitter post'No action without UN'published at 11:25
11:25Sajid Sheikh from the Communication Workers' Union, supporting the motion, says there should be no action in Syria without the support of the United Nations.
Syria debate beginspublished at 11:20
11:20Ivan Monckton of the Unite union opens the emergency debate on Syria. He claims that, if David Cameron had won a Commons vote on military action in Syria, so-called Islamic State would be "even stronger than they are now". He says there has been "an outpouring of sympathy" for the plight of refugees, but adds:
Quote MessageWe cannot allow this wave of human solidarity to be misused to drag this country into another Middle East war."