Image source, Getty Images

• Jeremy Corbyn delivered his first conference speech as Labour leader, vowing to create a "kinder politics, a more caring society"
• Mr Corbyn, who was elected Labour leader by a huge margin on 12 September, told voters they don't have to accept that inequality and injustice are inevitable - and things "can and must change"

• Jeremy Corbyn also faced criticism on the last day from senior Labour colleagues for saying he would not fire Britain's nuclear weapons if he were prime minister
• Shadow defence secretary Maria Eagle said the words were "not helpful", while shadow foreign secretary Hilary Benn said Mr Corbyn should abide by the party's decision on renewing Trident
• The Labour leader has shifted the nuclear debate with his comments, says BBC political correspondent Ross Hawkins

• Labour delegates voted against military action in Syria without UN backing, while the government said it would bomb extremist group Islamic State positions in Iraq for "as long as it takes" 
• The free movement of workers in the EU has made life tougher for low paid workers in the UK, shadow home secretary Andy Burnham said

• Labour activists voted to officially back rail nationalisation as party policy at their conference
• Shadow energy secretary Lisa Nandy said Labour wants to "democratise rather than nationalise" the UK's energy market, and every community in the country should be able to own their own clean energy power station
• Labour's environment spokeswoman Kerry McCarthy said she wholeheartedly backs British farmers, acknowledging that some people were "worried" about her appointment because she was a vegan
• Shadow chancellor John McDonnell addressed Labour conference for the first time in his new role on Monday. He pledged that the party can show  "another world is possible" by rejecting austerity while also "living within our means".
• BBC political reporter Gavin Stamp looks at what we learnt from Mr McDonnell's speech
• BBC political editor Laura Kuenssberg said Mr McDonnell may have set out to deliver a "dull" speech but he remains the most radical shadow chancellor in years.

That's all for our coverage today. For those of you getting conference withdrawal symptoms, there are only four days to go until the start of the Conservative getogether in Manchester. In the meantime, Jeremy Corbyn will hope to put the Trident row behind him as he travels to Scotland on Thursday for his first meeting with Scottish Labour leader Kezia Dugdale. 

In the final Today at Conference from Brighton, James Landale will look at some of the highlights from the final day of Labour's annual gathering.

That will include clips on Trident and Syria, with Andy Burnham, Heidi Alexander and Lucy Powell, and the singing of the Red Flag which traditionally closes the event.

It starts on BBC2 after Newsnight at 23:15 BST (later in Scotland), with a repeat on Thursday at 09:00 on BBC Parliament.

Next week, James will present three programmes from the Conservative conference in Manchester. 

Image source, Reuters

The former secretary general of Nato, Anders Fogh Rasmussen, has claimed Jeremy Corbyn's admission that he would not order the UK's nuclear missiles to be used in any circumstances is "dangerous". The Danish politician, who headed the military alliance between 2009 and 2014, told Sky News:

Image source, Reuters

Shadow international development secretary Diane Abbott has accused an unnamed group of Labour MPs of "talking about" supporting air strikes in Syria to disrupt Jeremy Corbyn's leadership.

Speaking on a special programme about the Syrian conflict on Radio 4, she said: "There's a group of Labour MPs talking big talk about voting with the Tories on bombing. Many are only doing it to disrupt Jeremy Corbyn's leadership."

Ms Abbott said she didn't think British people would "look kindly" on anyone who "put British troops in harm's way" because of internal Labour party manoeuvring.

Although she didn't want to think that was true, she said it was "surprising to me" how many more Labour MPs were considering voting for air strikes when the "objective reality has not altered" since the last time Syrian strikes were discussed in September 2013.

Ms Abbott said there were a number of MPs - Labour and Conservative - who had "serious concerns" about bombing without a wider strategy.

Image source, PA

The BBC's diplomatic correspondent Jonathan Marcus has been considering how important Britain's nuclear weapons system is to the country's security, defence policy and standing in the world.

He writes: The whole debate over the fate of Britain's nuclear deterrent involves complex strategic, moral and political aspects.

Jeremy Corbyn may be a long way from even convincing his parliamentary colleagues of the merits of his position.

But his beliefs mean that the future of the deterrent is likely to figure prominently in the foreign policy debate surrounding the next general election. Read his full analysis

BBC 5Live

Image source, Ministry of Defence/Crown Copyright

A former director general at the Ministry of Defence, Rear Admiral Chris Parry, said Jeremy Corbyn's comments about not being willing to use nuclear weapons "proves he can't be leader of this country because he can't provide for its defence".

Speaking on BBC Radio 5live Rear Admiral Parry, who was also a Nato commander, said if Mr Corbyn got into power "we'd have to give up our nuclear deterrent because it wouldn't be credible".

He said Mr Corbyn and his team "don't understand" the realities of how a nuclear deterrent works and if elected "we'd be doing the work of some of our adversaries" by letting them know the UK wouldn't use it.

He warned that no other country would follow the UK's lead in giving up their weapons and suggested Mr Corbyn was "going to have a challenge getting elected on that ticket". Read our full story

Image source, AP

Foreign Secretary Philip Hammond has said Russia must confirm its air strikes in Syria were aimed at Islamic State or al-Qaeda affiliates. 

It was very important that Russia should show the attacks were not on moderate opponents of President Assad, he told the UN Security Council. 

Russian defence officials say their aircraft targeted IS but an unnamed US official told Reuters that so far they did not seem to be targeting IS-held territory. Read our full story

Here's a roundup of events on the day that the Labour conference in Brighton drew to a close and Russia began airstrikes on positions held by so-called Islamic State in Syria. 

• Jeremy Corbyn has faced criticism from senior Labour colleagues for saying he would not fire Britain's nuclear weapons if he were prime minister
• Shadow defence secretary Maria Eagle said the words were "not helpful", while shadow foreign secretary Hilary Benn said Mr Corbyn should abide by the party's decision on renewing Trident
• The Labour leader has shifted the nuclear debate with his comments, says BBC political correspondent Ross Hawkins
• "Principles and practicalities are clashing with full force" on the last day of conference, says BBC political editor Laura Kuennsberg
• Read the BBC News guide to Trident and the debate about its replacement

• Also at conference today, Labour delegates voted against military action in Syria without UN backing, while the government said it would bomb extremist group Islamic State positions in Iraq for "as long as it takes" 
• The free movement of workers in the EU has made life tougher for low paid workers in the UK, shadow home secretary Andy Burnham said
• David Cameron, visiting Jamaica, has ruled out making reparations for Britain's role in the historic slave trade and urged Caribbean countries to "move on"
• The electrification of two railway lines is to be restarted after the projects were halted so a review could be carried out, the government says.

Education Secretary Nicky Morgan says she hopes a woman will run for the leadership of the Conservative Party when David Cameron stands down. She told the Spectator magazine that whether she would stand herself would partly depend on her personal commitments and any decision would be taken "very much with family in mind". Ms Morgan, who has a seven-year old son, said: 

BBC Radio 4

Historian, broadcaster and crossbench peer Lord Hennessy has been reflecting on Britain's nuclear weapons capability and what would happen if a prime minister decided they would have to be used. There is no nuclear button as such, he tells Radio 4's PM, but a series of "authentication codes" that have to be approved by two people all the way up the chain of command. Should a prime minister ultimately authorise the firing of a nuclear weapon the missiles would land on their target "within an hour" of the order, he adds. 

The World at One
BBC Radio 4

General Secretary of the GMB union, Paul Kenny, says nuclear weapons are an important deterrent.

The World at One
BBC Radio 4

Andy Burnham on Jeremy Corbyn's views about Trident, the party's role in deciding its position, and his potential future in the shadow cabinet.

The prime minister, who is visiting Jamaica, responds to the Russian air strikes in Syria and the Labour conference vote against UK military action in Syria without United Nations backing.