Newspaper headlines: Corbyn speech and US trade war?
At the last two Labour party conferences, says the Guardian political sketch, Jeremy Corbyn has been fighting for his political life.
Now, he has the party at his feet.
"Power to the people" is how the Daily Mirror headlines its report of Mr Corbyn's speech in Brighton, saying his confidence is infectious and praising how he has relaxed into the role of leader.
The Huffington Post says the speech was Mr Corbyn's "best by far", and adds that his MPs will have been heartened by the attempt to reach out beyond his own tribe.
But it then asks: "Has the nation reached Peak Corbyn?", and questions: "Can he keep this up for five years?"
The Financial Times says Mr Corbyn's plans for rent controls will have alarmed landlords - with one telling the paper they would be a disaster for tenants - while it says talk of nationalising industries "sent jitters" through the business world.
The Daily Telegraph says the Labour leader has been accused by the Tories of making pledges that would cost £312bn.
Politics Home says this was "not a great speech, but that doesn't matter anymore".
It says: "Voters don't look for soaring rhetoric, they want authenticity."
And many of the papers suggest Mr Corbyn has benefited from comparisons with Theresa May.
The Times' editorial says Corbynism is "filling a vacuum of ideas" left by a Conservative Party that has failed to inspire voters.
It urges the prime minister to use the Tory conference to expose what it calls Labour's "flimsy panaceas" but also present compelling alternatives.
The US has put huge tariffs on imports of the jets - partly made in Belfast - after a complaint by Boeing.
The Sun urges Mrs May to "talk sense into Donald Trump" and settle the row.
"We are both mad keen on a post-Brexit trade deal", it says, "we must not let an aircraft trade war kill it at birth."
The Times says the dispute is a setback for the prime minister, who personally urged President Trump three times to intervene.
It quotes one source as saying that if the UK hits back at Boeing, the firm could simply "turn off" helicopters and planes sold to the UK.
The source explains: "You rely on the original equipment manufacturer for the technical data, servicing and upgrades."
Staying with the issue of technology, the Telegraph says Apple is urging children not to rely on the face recognition system on its new iPhone.
The technology is used to unlock the iPhone X, which will cost about £1,000, and is supposed to be far more secure than finger prints.
But Apple has warned that since under-13's faces are still developing, there is a great chance that other children - especially brothers or sisters - will be able to unlock the phone.