That's it for our coverage today. Tuesday looks set to be another busy day with the cast list at the Conservative conference a stellar one. Boris Johnson, Zac Goldsmith, Michael Gove, Theresa May, Nicky Morgan and Jeremy Hunt will all be taking to the stage. David Cameron will also be doing a series of media interviews throughout the day, both with the BBC and other outlets. Please join us then. 

Speaking on the BBC's Newsnight, David Cameron has defended the government's planned cuts to tax credits, saying that although "different families will be affected in different ways", families working full time on the minimum wage will be £2,400 better off when increases in the personal tax allowance and the introduction of the national living wage are taken into account. He urges people to look at the "whole package" on offer, saying it will make "work pay and reduce the cost of welfare" in the long term. There is a big choice between the two main parties on the issue, he adds.

Robert Peston
Economics editor

The Conservatives' general election manifesto pledged there would be a few pilot schemes - in Cambridgeshire, Manchester and Cheshire East - to test the impact of giving local authorities the power to retain 100% of any incremental funds they raise from business rates.

Just a few weeks later, George Osborne has announced that the pilot would be, well, all of England.

I asked a senior minister why the Chancellor leapfrogged the trials and has gone for full roll-out. The answer was one word: "power".

Read Robert's full analysis of the business rates announcement

Image source, Reuters

Leaders of the main parties traditionally stay away from rivals' conferences but Labour's Jeremy Corbyn broke that convention on Monday by addressing a rally in Manchester in which he gave his support to the CWU campaign to protect postal services and employment standards in the postal industry. This is part of what he said: 

James Landale returns with three nightly editions of Today at Conference from the Conservative Party conference.

Between now and Wednesday, you can catch up with the main events of the day and James' thoughts on what is happening behind the scenes at 23.20 BST on BBC Two after Newsnight.

On Monday's programme, he will have clips of Chancellor George Osborne, Culture Secretary John Whittingdale, Business Secretary Sajid Javid, Environment Secretary Liz Truss and Energy Secretary Amber Rudd.

It will be repeated at 10:00 BST on BBC Parliament.

This from the BBC's Callum May in Manchester. Greater Manchester Police report five arrests in the vicinity of the Tory conference venue on Monday. One for drunk and disorderly conduct, three for public order offences and one for two counts of common assault.

Image source, Press Association

"He's a moderate moderate." It is a four word description that a friend of more than twenty years says best sums up Lord Adonis, the peer who has been appointed by the Chancellor George Osborne as the head of the new National Infrastructure Commission (NIC). 

Andrew Adonis is not your typical politician. His political career began as a councillor for the Social Democratic Party in the 1980s, a new outfit formed by Labour types who felt their party was drifting too far to the left. He later became a Liberal Democrat and was selected to fight a parliamentary seat for them, before quitting and joining the Labour Party. 

He became Tony Blair's head of policy, was given a seat in the House of Lords as Lord Adonis of Camden Town, and then became a schools minister and then transport secretary. But he will now sit on the crossbenches in the House of Lords - alongside independent peers, without a party political affiliation - whilst he chairs the NIC. 

It is a CV which suggests a loose affiliation to any political party, although his friends point out he remains a member of the Labour Party even though he won't be sitting with his Labour colleagues in the Upper House.

Read Chris Mason's full profile of Lord Adonis

Image source, Getty Images

Labour leader Jeremy Corbyn has arrived at an event at Manchester Cathedral.

Asked if he was gatecrashing the Conservative Party conference, he insisted he was attending a long scheduled event on the future of the Royal Mail, organised by the Communications Workers Union.

He's due to speak to what organisers say are about 2,000 people gathered outside the cathedral. He will address a full house inside the venue too.

Image source, Getty Images

Here's a quick recap of events so far on the second day of the Conservative conference in Manchester.

• George Osborne has said the Conservatives are "the true party of labour", and called on the party to "extend our hand" to people who feel "completely abandoned" by Labour's new leadership.
• In his conference speech, the chancellor announced that councils in England would be able to set and keep hold of their share of £26bn in business rates.
• Plans to sell shares worth at least £2bn in Lloyds to private investors have been announced by the government.
• Mr Osborne also said the government would press ahead with high speed rail and a decision on airport expansion in the south east of England could be expected by Christmas.
• Lord Adonis, a former policy adviser to Tony Blair and transport secretary under Gordon Brown, is to lead a new National Infrastructure Commission. Lord Adonis has resigned the Labour whip in the Lords, but will remain a Labour Party member.
• Business Secretary Sajid Javid tells conference the government's trade union reforms will prevent people from being "bullied" by striking workers.

David Cameron has given his reaction to the death of a police officer in Merseyside. PC David Phillips was killed after being struck by a stolen car in Wallasey. The prime minister said:

Image source, PA

Unite leader Len McCluskey has reacted angrily to comments made earlier by Jeremy Hunt about the economic and cultural case for cutting tax credits. The health secretary told a fringe meeting that the move "sent a signal" about the importance of work in society and begged the question of whether the UK was prepared to work "as hard" as the United States and Asian economies over the coming decades. Mr McCluskey suggested the minister had slighted "the millions of people struggling to get by, working hard for long hours in insecure employment".

BBC News Channel

Energy Secretary Amber Rudd has come under fire from environmental campaigners after telling the conference earlier that renewable technologies need to "stand on their own two feet". They have accused her of double standards, saying the UK is withdrawing subsidies for wind and solar at a time it is offering huge guarantees for future nuclear plants. But Ms Rudd tells BBC News that nuclear is the "baseload" of the UK's energy supply, providing a fifth of output, and urges opponents to "look again" at the case for building a new generation of nuclear plants. While there are "great opportunities" for wind and solar and the sector is a "great success story" she says their cost has to come down and subsidies must be reduced to ensure people's bills are kept at an affordable level.