Theresa May speech to Tory conference
Prankster 'Lee Nelson' interrupts her
PM struggles to finish as voice goes
In speech she apologises for the election
Unveils new council housing plans
And confirms plans for energy price cap
Theresa May says she is determined to get to the truth behind the Grenfell Tower fire.
"Grenfell should never have happened and should never be allowed to happen again," she says, adding that the residents' voices were not heard.
The prime minister tells her party that, if anyone in authority is found to be at fault, "justice must be done - that's what I'm in this for".
"How far you go in life should depend on you and your hard work," Theresa May says.
She insists she is not afraid to take on vested interests and stand up for those who "would not be heard".
She says she is "in this" for people like the families of Hillsborough victims and those who have suffered from child sexual abuse.
Mrs May also praises Alexander, a young black man who spoke "eloquently" of being repeatedly stopped and searched despite not doing anything wrong.
"We took action," she says.
She pays tribute to Alexander, who died at the age of 21 from cancer.
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Theresa May says the Tories' task after 2010 was to recover from "Labour's great recession".
She lists achievements since then, including lower crime, fighting terrorism, same-sex marriage and "a national living wage... introduced not by the Labour Party but by us".
The left should not be allowed to say "they have a monopoly on compassion", the PM adds, to applause.
She says her commitment is to "sweeping away injustice".
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Theresa May says that she is not known for being emotional.
"I don't mind being called the ice maiden," she says before joking that George Osborne "took the analogy too far".
This is a joke about the former chancellor reportedly saying that he would not rest until Mrs May is "chopped up in bags in my freezer" - remarks for which he later apologised., external
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The prime minister thanks activists for their work in the election campaign - and then sounds a note of contrition for her own role.
The national campaign "fell short" and was "too scripted, too presidential", she said.
"I hold my hands up for that... I led the campaign and I am sorry."
But the party should not "give up" but look to the future.
"All that should ever drive us is the duty we have to Britain," she adds.
Image source, Getty Images
There is a standing ovation as Theresa May takes to the stage.
She recalls joing the Conservative Party over 40 years ago because it "had the ideas to build a better Britain".
It "spoke to my values and my aspirations" that people should live what she calls "the British dream".
However, the party's "ability to deliver it was in question" in the general election, she adds.
Former No 10 communications chief Katie Perrior says Theresa May cannot fight the next election.
She likens the prime minister to a CEO, adding: "She's not a campaigner."
However, she describes the PM as "a great public servant" and says the party is "willing her to succeed today".
Kemi Badenoch, who became an MP in the general election, tells conference that she has "never experienced prejudice" in the Conservative Party.
She says that when she joined the party, Labour activists "couldn't believe" that a black women would want to join the Conservatives.
They told her she would "soon be running away screaming from all the white middle aged men and their prejudice".
But Kemi Badenoch insists it's the Conservatives who are the "party of opportunity" and she received a lot of help from "white, middle-aged Conservative men".
BBC East political correspondent tweets...
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BBC Radio 5 live
Earlier, Home Secretary Amber Rudd said that reports that she had hired Tory election guru Lynton Crosby to help her in an leadership bid were “untrue”.
But she added: “What I have done is, I'm talking to various people, and his (Lynton Crosby’s) organisation is one of them, to see if there's any more I can do in Hastings to reach out, to really improve my campaign locally.
“I haven't recruited them, but what I have done is reached out to find out what else I could do.”
Ms Rudd only won her seat in this year's election by a tiny number of votes.
We have been promised a more personal speech from Theresa May, but BBC political editor Laura Kuenssberg notes that the PM is less comfortable in that territory.
"She doesn't like doing the personal," Laura tells the Daily Politics.
She adds: "This party... wants to be taken by the scruff of the neck. They want to be led."
BBC political correspondent tweets...
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BBC Radio 5 live
Earlier, Home Secretary Amber Rudd told BBC Radio 5 live that the government’s plan is “not to say” when they will hit their stated immigration target.
"We won't say by which point we'll reach it," she told Emma Barnett on BBC Radio 5 Live.
"It's part of the plan not to say that we're going to do it this year."
She said that the target wouldn’t be dumped.
"There's no dumping. We've got a sitaution where net migration is coming down.
"It's a good outcome that it's coming down, but I want to do it in a way that softens our approach and make sure it supports business on the way."
